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Surface Area Of A Cone Free Doubts and Solutions

CBSE - IX - Mathematics - Surface Areas and Volumes

R=35 h=12 find curved surface of cone

Asked by Abhishekvedic8873 28th August 2018, 8:38 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A rocket is in the form of a cylinder surmounted by a cone. The cylinder is of radius 9 m and height 17 m and the cone has the height 12 m.  What is the surface area of the rocket?

Asked by Topperlearning User 26th October 2017, 11:45 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The toy is in the form of a cylinder surmounted by a cone. The cylinder is of diameter 30 cm and height 23 cm and the cone has slant height 17 cm. Calculate the surface area of the toy.

Asked by Topperlearning User 24th October 2017, 3:20 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Calculate the length of 4 m wide tarpaulin required to make conical tent of slant height 14 m and base diameter 16 m.

Asked by Topperlearning User 17th October 2017, 10:02 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The slant height and altitude of a conical tomb are 15 m and 12 m respectively. Find the cost of white-washing its curved surface at the rate of Rs. 70 per m2.

Asked by Topperlearning User 17th October 2017, 9:56 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

  The curved area of a cone is 792 cm2 and its radius and slant height are in the ratio 4:7. Calculate its radius.

Asked by Topperlearning User 17th October 2017, 9:51 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A conical tent is 6 m high with radius of base as 8 m. Find the cost of cloth required to make the tent, if one square meter of cloth costs Rs. 28.

Asked by Topperlearning User 17th October 2017, 9:48 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Find the length of 2 m wide tarpaulin required to make conical tent of height 6 m and base diameter 16 m?

Asked by Topperlearning User 17th October 2017, 9:42 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A pile of sand is in the shape of a right cone. The circumference of the base is 88 m and its slant height is 7 m. Find the lateral surface area of the pile of sand.

Asked by Topperlearning User 17th October 2017, 9:36 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A joker’s cap is in the form of a right circular cone of base radius 3 dm and height 4 dm. Find the area of the sheet required to make 35 such caps.

Asked by Topperlearning User 17th October 2017, 9:16 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The circumference of the base of the cone of slant height 35 cm is 88 cm. Find its curved surface area.

Asked by Topperlearning User 17th October 2017, 9:12 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A building is cylindrical to a height of 9 m and conical above it. If the base radius is 15 m and height of the cone is 8 m, find the area of the building.

Asked by Topperlearning User 17th October 2017, 9:06 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A circus tent is cylindrical upto a height of 11 m and conical above it. If the diameter of the base is 24 m and the height of the cone is 5 m, find the length of the canvas required to make the tent if the width of the canvas is 5 m.

Asked by Topperlearning User 17th October 2017, 8:59 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

An isosceles triangle with a base radius of 0.4 m and an altitude of 0.3 m is revolved about a line through the vertex and perpendicular to the base. Calculate the lateral surface area of the solid so generated.

Asked by Topperlearning User 17th October 2017, 8:23 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The area of the base of a right circular cone is 616 cm2 and its slant height is 9 cm. Find its total surface area.

Asked by Topperlearning User 17th October 2017, 8:08 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A right circular cone is formed by bending a semicircular piece of paper of radius 8 cm. Determine the curved surface area of the cone.

Asked by Topperlearning User 17th October 2017, 8:03 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

I want all three answers from figure I.e4,5,6 figure is somewhat blurd so please see carefully and answer

Asked by md775016 28th May 2017, 3:41 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

the height of a solid cone is 12cm and the radius of circular base is 32cm.a plane parralel to base of the cone cuts through the cone 9cm above the vertex of cone .find the area of the base of new cone so formed?
 

Asked by Hrithik 7th January 2017, 10:55 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

FIND THE VOLUME OF THE LARGEST RIGHT CIRCULAR CONE THAT CAN BE CUT OUT OF A CUBE WHOSE EDGE IS 9CM.

Asked by shabnakader 6th January 2017, 8:48 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

IF THE RADIUS AND HEIGHT OF A CONE BOTH ARE INCREASED BY 10%,THEN THE VOLUME OF THE CONE IS INCREASED BY:

Asked by vaishnavi 4th April 2016, 1:46 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Pls pls pls pls pls
sir list all the important question of all the chapters which can come in exam.
kindly post all questions
 

Asked by Snehal Ambekar 10th March 2016, 6:52 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A conical tent is 10 m high and radius of its base is 24 m. Find the cost of the canvas required to make the tent at the rate of Rs.70 per m²

Asked by mkmishra101 8th March 2016, 1:06 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The area of the curved surface area of cone of slant height 50 cm is 2200 cm². Find its height.

Asked by mkmishra101 3rd March 2016, 5:46 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A wooden toy is in the form of a cone Surmounted on a hemisphere. The diameter of the base of the cone is 6 cm and its height is 4 cm. Find the cost of painting the toy at the rate of Rs. 5 per 1000 cm2

Asked by dimplesharma0810 3rd March 2016, 1:04 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The vertical height of a cone is 6 cm and the radius of its base is 8 cm  .  Find the whole surface area of the cone  .

Asked by suprakash 17th January 2016, 12:12 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

From a solid right circular cylinder with height 8cm and radius of base 6cm a right circular cone of the same height and base is removed . Find the total surface area of the remaining solid.

Asked by suprakash 17th January 2016, 11:59 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

what is the simplest way to find the under root if decimal numbers?For example;root of 139.69 .

Asked by sangyaagarwal 14th December 2015, 5:36 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

what formula would be used to find the area of cloth/canvas required to cover a right conical tent  some tents have a base in that case we would use t.s.a while in tents without base we would be using c.s.a but when the question does not tell whether the base has to covered or not then what to do 

Asked by Shubhanker 20th February 2015, 9:59 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

<div> <div class="excercise_cont PR" style="padding: 15px 20px 30px; margin: 0px; border: 0px; outline: 0px; font-size: 14px; vertical-align: baseline; position: relative; width: 918px; overflow-x: auto; overflow-y: hidden; font-family: Lato, sans-serif; line-height: 20px; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <div class="que_wrap c53555b" style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; color: #53555b; background: transparent;"> <div class="disable_height" style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;"> <h3 class="excercise_que" style="padding: 15px; margin: 0px; border: 1px solid #dde2e6; outline: 0px; font-size: 15px; vertical-align: baseline; overflow: hidden; background: transparent;"> <div style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">Assume&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_ba10f1f1134c30b6a287536dbff3e686.png" alt="" align="middle" />, unless stated otherwise.</div> <div style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm. (Use&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_b30c14c35f7e20752f646111109b139b.png" alt="" align="middle" />&nbsp;= 3.14).<br style="padding: 0px; margin: 0px;" /><br style="padding: 0px; margin: 0px;" /></div> </h3> </div> </div> </div> <div id="question_solution_1172" class="show_solution" style="padding: 0px; margin: 0px; border: 0px; outline: 0px; font-size: 14px; vertical-align: baseline; font-family: Lato, sans-serif; line-height: 20px; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> <div class="blut_tb noMar f14 FB" style="padding: 5px 0px 0px 20px; margin-right: 0px; margin-bottom: 0px; margin-left: -10px; border: 0px; outline: 0px; vertical-align: baseline; font-stretch: normal; line-height: normal; font-family: Lato, Arial, Helvetica, sans-serif; width: 127px; height: 33px; display: inline-block; color: #ffffff; margin-top: 0px !important; background: url(http://css1.topperlearning.co.in/img/subjects_sprite.png) 0px 0px no-repeat;">Solution</div> <div class="mcq_cont" style="padding: 15px 20px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;"> <div class="solution excercise_sol textbook_solution" style="padding: 15px; margin: 0px; border: 1px solid #dde2e6; outline: 0px; vertical-align: baseline; color: #53555b; overflow-y: hidden; overflow-x: auto; line-height: normal !important; width: 886px !important; font-stretch: normal !important; font-family: Lato, Arial, Helvetica, sans-serif !important; background: transparent;"> <div class="scroll-pane1" style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;"> <div style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">Height (h) of conical tent = 8 m<br style="padding: 0px; margin: 0px;" />&nbsp;&nbsp;&nbsp; Radius (r) of base of tent = 6 m<br style="padding: 0px; margin: 0px;" />&nbsp;&nbsp;&nbsp; Slant height (l) of tent =&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_b07db2a138b9cd3d76896950b166e7cb.png" alt="" align="middle" />&nbsp; &nbsp;&nbsp;&nbsp;<br style="padding: 0px; margin: 0px;" />&nbsp;&nbsp;&nbsp; CSA of conical tent =&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_6a426bd6d4839843b6a811138e3d6b88.png" alt="" align="middle" />&nbsp;= (3.14&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_b9ccb383b0c73c26cfb3ff194a86e235.png" alt="" align="middle" />&nbsp;6&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_b9ccb383b0c73c26cfb3ff194a86e235.png" alt="" align="middle" />&nbsp;10)&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_20eb865cc04235a6c2d39ab1fefc1bd5.png" alt="" align="middle" />&nbsp;= 188.4&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_20eb865cc04235a6c2d39ab1fefc1bd5.png" alt="" align="middle" /><br style="padding: 0px; margin: 0px;" /><br style="padding: 0px; margin: 0px;" />Let length of tarpaulin sheet required be L.&nbsp;<br style="padding: 0px; margin: 0px;" />As 20 cm will be wasted so, effective length will be (L - 0.2 m)&nbsp;<br style="padding: 0px; margin: 0px;" />Breadth of tarpaulin = 3 m&nbsp;<br style="padding: 0px; margin: 0px;" /><span style="background-color: #888888;">Area of sheet = CSA of tent&nbsp;</span><br style="padding: 0px; margin: 0px;" /><span style="background-color: #888888;">&nbsp;&nbsp;&nbsp; [(L - 0.2 m)&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_b9ccb383b0c73c26cfb3ff194a86e235.png" alt="" align="middle" />&nbsp;3] m = 188.4&nbsp;<img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; vertical-align: middle !important; background: transparent;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/1172_20eb865cc04235a6c2d39ab1fefc1bd5.png" alt="" align="middle" /></span><br style="padding: 0px; margin: 0px;" /><span style="background-color: #888888;">&nbsp;&nbsp;&nbsp; L - 0.2 m = 62.8 m</span><br style="padding: 0px; margin: 0px;" /><span style="background-color: #888888;">&nbsp;&nbsp;&nbsp; L = 63 m</span><br style="padding: 0px; margin: 0px;" />&nbsp;&nbsp;&nbsp;&nbsp;<br style="padding: 0px; margin: 0px;" /><span style="background-color: #888888;">&nbsp;&nbsp;&nbsp; Thus, the length of the tarpaulin sheet will be 63 m.</span></div> <div style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">&nbsp;</div> <div style="padding: 0px; margin: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">elaborate last 2 points</div> </div> </div> </div> </div> </div>

Asked by Gajanan 7th December 2014, 1:59 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find : (i) Radius of the base (ii) Total surface area of the cone.

Asked by Topperlearning User 28th November 2014, 10:30 AM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A joker's cap is in the form of a right circular cone of base with radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The radius and height of a cone are in the ratio 4 : 3. The area of its base is 154 cm2. Find its curved surface area.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Curved surface area of a cone of radius 4 cm is 20 cm2. Find total surface area of the same cone in terms of .

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The height and base diameter of a conical tent is 16 m and 24 m respectively. Find the cost of canvas required to make it at the rate of Rs. 210 per m2?

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

A conical tent is 10 m high and the radius of its base is 24 m. Find(i) Slant height of the tent (ii) Cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs.70.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

There are two cones. The C.S.A. of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of the radii.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

Find the volume, curved surface and total surface area of a cone with the given radius 3 m and height 4 m.ORThe curved surface area (CSA) of the cone is 814 sq. cm and the total surface area (TSA) of the cone is 1584 sq.cm. Find its volume.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

The circumference of the base of a 10 m high conical tent is 44 m. Calculate the length of canvas used in making the tent if the canvas is 2 m wide.

Asked by Topperlearning User 4th April 2014, 1:47 PM
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CBSE - IX - Mathematics - Surface Areas and Volumes

From a right circular cylinder with a height 8cm and radius 6cm a right circular cone of the same height and base is removed . Find the total surface of the remaining solid.

Asked by Tejas Kulkarni 28th February 2014, 12:18 AM
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