A square sheet of paper,44 , cm long,is rolle | vedclass

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Question

(A) Given that the sheet is a square with side length $s = 44 \, cm$.When it is rolled along its length to form a cylinder,the length of the sheet bec

Vedclass · Accepted Answer

$6776$

Vedclass · Answer

(A) Given that the sheet is a square with side length $s = 44 \, cm$.When it is rolled along its length to form a cylinder,the length of the sheet becomes the circumference of the base of the cylinder.Therefore,the circumference $C = 2 \pi r = 44 \, cm$.Using $\pi = 22/7$,we have $2 	imes (22/7) 	imes r = 44$.This simplifies to $(44/7) 	imes r = 44$,which gives $r = 7 \, cm$.The height $h$ of the cylinder is equal to the side of the square,so $h = 44 \, cm$.The volume $V$ of the cylinder is given by $V = \pi r^2 h$.$V = (22/7) 	imes (7)^2 	imes 44$.$V = (22/7) 	imes 49 	imes 44 = 22 	imes 7 	imes 44$.$V = 154 	imes 44 = 6776 \, cm^3$.

$A$ square sheet of paper,$44 \, cm$ long,is rolled along its length to form a cylinder. Find the volume of the cylinder so formed. (in $cm^3$)

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