The radii and heights of a cylinder and a con | vedclass

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Question

(C) The volume of a cylinder is given by the formula $V_{cylinder} = \pi r^{2} h$.The volume of a cone is given by the formula $V_{cone} = \frac{1}{3}

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) The volume of a cylinder is given by the formula $V_{cylinder} = \pi r^{2} h$.The volume of a cone is given by the formula $V_{cone} = \frac{1}{3} \pi r^{2} h$.Given that the radii $(r)$ and heights $(h)$ are equal for both shapes,we can compare their volumes:$V_{cylinder} = \pi r^{2} h$Since $V_{cone} = \frac{1}{3} \pi r^{2} h$,we can write $\pi r^{2} h = 3 	imes (\frac{1}{3} \pi r^{2} h)$.Therefore,$V_{cylinder} = 3 	imes V_{cone}$.

The radii and heights of a cylinder and a cone are equal. Then,the volume of the cylinder $= \ldots \ldots \ldots \times$ the volume of the cone.

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