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CBSE Class 9 Answered

A copper wire of diameter 6 mm is evenly wrapped on a cylinder of length 15 cm and diameter 49 cm to cover its whole surface. Find the length and volume of the wire. If the specific gravity of copper is 9g/cm³, then find the weight of the wire.
Asked by mkmishra101 | 03 Mar, 2016, 05:32: PM
answered-by-expert Expert Answer
D i a m e t e r comma space straight d equals space 6 space m m equals 0.6 c m R a d i u s space o f space t h e space w i r e equals 0.3 space c m L e n g t h space o f space c y l i n d e r comma space straight h equals 15 space c m D i a m e t e r space o f space c y l i n d e r comma space straight d equals space 49 space c m R a d i u s space o f space c y l i n d e r comma space straight r equals space 49 over 2 c m N u m b e r space o f space r o t a t i o n s space o n space t h e space c y l i n d e r equals fraction numerator 15 over denominator 0.6 end fraction equals 25 B a s e space c i r c u m f e r e n c e space o f space t h e space c y l i n d e r space equals 2 pi r equals 2 cross times 22 over 7 cross times 49 over 2 equals space 154 space space c m T h e r e f o r e comma space l e n g t h space o f space t h e space w i r e equals 154 cross times 25 equals 3850 space c m V o l u m e space o f space t h e space w i r e equals pi r squared straight h equals 22 over 7 cross times 0.3 cross times 0.3 cross times 3850 equals 108.9 space c m cubed W e i g h t space o f space t h e space w i r e equals V o l u m e cross times d e n s i t y space space equals 108.9 cross times 9 equals 980.1 space g m
Answered by Rashmi Khot | 03 Mar, 2016, 06:23: PM

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CBSE 9 - Maths
25 The "Caring old people organisation"  needs money to build the old age home which requires 164000 bricks.  Bricks measure 10 cm8 cm 4 cm and cost of brick depends on its volume at the rate of ` 1 per 100 cm3.  It requires 4 cylindrical cans of paint of radius 14 cm and height 30 cm.  The cost of paint is ` 1 per 20 cm3.  How much money is required by organisation ?  If “A company gives the money to organization” then, what common value is depicted by A company and organisation.
Asked by harshsejal.83 | 16 Feb, 2023, 03:36: PM
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CBSE 9 - Maths
the perimeter of the base of a right circular cylinder is 88 cm and it's height is 10cm then its volume is
Asked by remsindi | 18 Jul, 2021, 06:11: PM
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CBSE 9 - Maths
From a cylindrical wooden log of length 30 cm and base radius 7 root 2 cm, biggest cuboid of square base is made. Find the volume of wood wasted.
Asked by ayushsuukla987 | 31 Dec, 2020, 10:45: AM
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CBSE 9 - Maths
A cube of copper edge 11cm is melted and formed into a cylindrical wire of diameter 0.5cm. what length of wire will be obtained from the cube
Asked by agentdevil1818 | 03 Mar, 2020, 05:27: PM
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CBSE 9 - Maths
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm .If the bowl is filled with soup to a height of 4 cm ,how much soup the hospital has to prepare daily to serve 250 patients ?
Asked by Sourabh2002yadav | 13 Nov, 2018, 04:07: PM
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CBSE 9 - Maths
The circumference of the base of a cylindrical vessel of height 28 cm is 352 cm. Find the amount of water it can hold.
Asked by Topperlearning User | 13 Oct, 2017, 01:47: PM
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CBSE 9 - Maths
A rectangular piece of paper 33 cm long and 16 cm wide is rolled along its breadth to get a cylinder of height 16 cm. Find the volume of the cylinder.
Asked by Topperlearning User | 13 Oct, 2017, 01:52: PM
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CBSE 9 - Maths
A cylindrical vessel of diameter 84 cm and height 18 cm contains milk. This milk is to be filled in cylindrical tumblers of radius 7 cm and height 6 cm. Find the number of tumblers that can be filled with milk.
Asked by Topperlearning User | 13 Oct, 2017, 02:14: PM
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CBSE 9 - Maths
A solid rectangular block of iron of dimensions 7 cm x 4 cm x 2.75 cm is recast into a cylinder of radius 7 cm. Find the height of the recast cylinder.
Asked by Topperlearning User | 26 Oct, 2017, 11:52: AM
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CBSE 9 - Maths
A cylindrical bucket of diameter 28 cm and height 12 cm is full of water. The water is emptied into a rectangular tub of length 66 cm and breadth 28 cm. Find the height to which water rises in the tub.  
Asked by Topperlearning User | 13 Oct, 2017, 01:56: PM
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