The curved surface area of a cylinder is 4400 | vedclass

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(D) Given for a cylinder: radius $(r) = 14 \, cm$ and curved surface area $(CSA) = 4400 \, cm^2$.The formula for the curved surface area of a cylinder

Vedclass · Accepted Answer

$30800$

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(D) Given for a cylinder: radius $(r) = 14 \, cm$ and curved surface area $(CSA) = 4400 \, cm^2$.The formula for the curved surface area of a cylinder is $CSA = 2 \pi r h$.Substituting the given values: $4400 = 2 	imes \frac{22}{7} 	imes 14 	imes h$.Simplifying the equation: $4400 = 2 	imes 22 	imes 2 	imes h = 88 	imes h$.Therefore,$h = \frac{4400}{88} = 50 \, cm$.The formula for the volume of a cylinder is $V = \pi r^2 h$.Substituting the values: $V = \frac{22}{7} 	imes 14 	imes 14 	imes 50$.$V = 22 	imes 2 	imes 14 	imes 50 = 44 	imes 700 = 30800 \, cm^3$.

The curved surface area of a cylinder is $4400 \, cm^2$ and its base has a radius of $14 \, cm$. Find the volume of the cylinder in $cm^3$.

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