A man uses a piece of canvas having an area of 551m2 to make a conical tent of base radius 7m Assumi...

Question

A man uses a piece of canvas having an area of 551m2 to make a conical tent of base radius 7m Assuming that all the stitching margins and wastage incurred while cutting amount to approximately 1m2 find the volume of the tent that can be made with it

Accepted Answer

ANSWER It is given that The radius of the conical tent 7m So the area of canvas required to make the conical tent 551 1 550 m2 We know that The curved surface area of a conical tent 550 So we get rl 550 By substituting the values 227 7 l 550 On further calculation l 55022 25m We know that Height h l2 r2 By substituting the values h 252 72 On further calculation h 625 49 576 So we get h 24m We know that The volume of the conical tent 13 r2h By substituting the values Volumes of the conical tent 13 227 72 24 On further calculation The volume of the conical tent 1232 m3 Therefore the volume of the conical tent is 1232 m3

RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15C in Chapter 15 - Volume And Surface Area Of Solids