Find the volume of a cylinder whose radius r is equal to its height.

π r

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π r^{3}

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π r^{2}

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π

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Solution

The correct option is B $π r^{3}$
Let h be the height of the cylinder.

Volume of the cylinder = $π r^{2} h$

Now, radius r is equal to its height h, r = h.

$\Rightarrow$ Volume of the cylinder = $π r^{2} r$ = $π r^{3}$

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Question 14

The volume of a cylinder whose radius r is equal to its height is

(a) $\frac{1}{4} π r^{3}$ (b) $\frac{π r^{3}}{32}$ (c) $π r^{3}$ (d) $\frac{π r^{3}}{8}$

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