A rectangular tin sheet is 12 , cm long and 5 | vedclass

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Question

(C) When a rectangular sheet is rolled along its length to form a cylinder,the length of the sheet becomes the circumference of the base of the cylind

Vedclass · Accepted Answer

$\frac{180}{\pi} \, cm^3$

Vedclass · Answer

(C) When a rectangular sheet is rolled along its length to form a cylinder,the length of the sheet becomes the circumference of the base of the cylinder,and the breadth of the sheet becomes the height of the cylinder.Given: Length of sheet $= 12 \, cm$,Breadth of sheet $= 5 \, cm$.Circumference of the cylinder base $= 2 \pi R = 12 \, cm$.$R = \frac{12}{2 \pi} = \frac{6}{\pi} \, cm$.Height of the cylinder $(h) = 5 \, cm$.Volume of the cylinder $= \pi R^2 h = \pi \left( \frac{6}{\pi} ight)^2 	imes 5$.Volume $= \pi 	imes \frac{36}{\pi^2} 	imes 5 = \frac{180}{\pi} \, cm^3$.

$A$ rectangular tin sheet is $12 \, cm$ long and $5 \, cm$ broad. It is rolled along its length to form a cylinder by making the opposite edges just touch each other. Then the volume of the cylinder is

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