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Probability

Question
CBSEENMA9003683

Bhavya has a piece of canvas whose area is 552 m2. She uses it to make a conical tent with a base radius of 7 m. Assuming that all the stiching margins and the wastage incurred while cutting amounts to approximately 2 m2, find the volume of the tent that can be made with it.

open parentheses Take space straight pi equals 22 over 7 close parentheses

Solution

            r = 7 cm
space space space space space space space space space space space πrl space equals space 552 space minus space 2 space equals space 550
rightwards double arrow space space space space space space space 22 over 7.7. straight l space equals space 550
rightwards double arrow space space space space space space space straight l equals 25 space straight m
space space space space space space space space space space straight l squared equals straight r squared plus straight h squared
rightwards double arrow space space space space 25 squared equals 7 squared plus straight h squared
rightwards double arrow space space space space straight h equals 24 space straight m
therefore space space space space Volume space equals space 1 third πr squared straight h
space space space space space space space space space space space space space space space space space space equals space 1 third.22 over 7.7.7.24
space space space space space space space space space space space space space space space space space space equals space 1232 space straight m cubed