Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Please solve
question image
Asked by Krrishagrawalrewari | 16 Feb, 2020, 08:23: AM
answered-by-expert Expert Answer
The interior of a building is in the form of a cylinder of diameter 4 m and height 3.5 m, surmounted by a cone of the same base with vertical angle as a right angle. Find the surface area (curved) and volume of the building.
 V e r t i c a l space a n g l e space o f space a space c o n e space i s space a space r i g h t space a n g l e U sin g space P y t h a g o r a s space t h e o r e m comma open parentheses D i a m e t e r close parentheses squared equals open parentheses s l a n t space h e i g h t close parentheses squared plus open parentheses s l a n t space h e i g h t close parentheses squared rightwards double arrow space open parentheses 4 close parentheses squared equals 2 l squared rightwards double arrow space l squared equals 8 rightwards double arrow S l a n t space h e i g h t space left parenthesis l right parenthesis space equals space 2 square root of 2 space m S i n c e comma space l equals square root of h squared plus r squared end root rightwards double arrow h e i g h t left parenthesis h right parenthesis equals square root of l squared minus r squared end root equals square root of 8 minus 4 end root equals 2 space m Curved space surface space area space of space cone space equals space πrl space Curved space surface space area space of space cylinder space equals space 2 πrh subscript 1 Curved space surface space area space of space building space space equals space πrl plus 2 πrh equals 22 over 7 cross times 2 cross times 2 square root of 2 plus 2 cross times 22 over 7 cross times 2 cross times 3.5 equals 22 over 7 cross times 2 open parentheses 2 square root of 2 plus 7 close parentheses equals 44 cross times 1.404 equals 61.77 space straight m squared Volume space of space the space building space equals space Volume space of space cylinder space plus space volume space of space cone equals space πr squared straight h subscript 1 plus 1 third πr squared straight h equals 22 over 7 cross times 2 squared open parentheses 3.5 plus 2 over 3 close parentheses equals 52.42 space straight m cubed
Answered by Renu Varma | 17 Feb, 2020, 11:35: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
A golf ball is spherical with about 300 - 500 dimples that help increase its velocity while in play. Golf balls are traditionally white but available in colours also. In the given figure, a golf ball has diameter 4-2 cm and the surface has 315 dimples (hemi-spherical) of radius 2 mm. Based on the above, answer the following questions: (i) Find the surface area of one such dimple. (ii) Find the volume of the material dug out to make one dimple. Find the total surface area exposed to the surroundings.
Asked by swetalinasamantaray022 | 21 Mar, 2023, 04:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
3. A glass cylinder with radius 10 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder. Use =22/7
Asked by rajsingh94116633 | 04 May, 2022, 10:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A conical tank with base radius 20 cm and height 40 cm is initially filled with water. Water drains through a small round hole at the bottom with a diameter of 1cm. Find an expression for the height of water in the tank at time t  
Asked by anitajoshi0912 | 22 Dec, 2021, 09:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if d is the diameter of the sphere then its volume is dash cu units
Asked by gnarasimha626 | 24 May, 2021, 09:40: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The amount of air present in a cylinder when a vaccum pump removes 1/4 of the air remaining in the cylinder at a time 
Asked by bhumichoudhary9091 | 18 Nov, 2020, 09:29: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Social welfare Association decides to supply drinking water for the flood affected people the drinking water is filled in a water tanker which is in the shape of a cylinder with hemispherical ends as shown in the figure the length of the tanker is 4.2 metre and the diameter of the base of the cylinder to hemisphere are each 1.2 metre if the distribute drinking water to 60 people in a container each of the shape of the cylinder radius 21 cm and height 15 cm find the quantity of the voter list in the tanker after distribution in litre 
Asked by adithyakambli123 | 13 Mar, 2020, 07:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Water is flowing through a cylindrical pipe of internal diameter of 2cm into a cylindrical tank of base radius 40 cm at a rate of 0.4 m/s. Determine the rise in water level in the tank in 1/2 hour 
Asked by adalroshan2464 | 10 Mar, 2020, 10:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Water is flowing at the rate of 7m/s through a circular pipe whose internal diameter   is of 2 cm into a cylindrical tank , the radius of whose base is 40 cm . Determine the increse in water level in 1/2 hours.
Asked by adalroshan2464 | 10 Mar, 2020, 10:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A social welfare association supply drinking water for social affected people the drinking water is filled in water tank which is shape of cylinder with hemisphere end as shown in figure the whole lenght of tanker is 4.2m and the diameter of the base cylinder and two hemisphere are each 1.2m if they distributing drinking water to 60 people in a container each in shape of cylinder of radius 21cm and height 50cm find the quantity of water left in the container after distributing in litre​
Asked by shakilaalva31 | 18 Feb, 2020, 05:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A wall 24m long, 0.4m thick and 6m high is constructed with the bricks each of dimensions 25cm×16cm×10cm. If the mortar occupies 1/10th of the volume of the wall,then find the number of bricks used in constructing the wall.
Asked by samarth8527 | 31 Jan, 2020, 03:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt