The volume of a hollow cylinder of inner radius $r_{2}$ , outer radius $r_{1}$ and height h is ______ .

π (r_{1}^{2} - r_{2}^{2})

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π h (r_{1}^{2} - r_{2}^{2})

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π h (r_{1} - r_{2})

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π h (2 r_{1}^{2} - r_{2}^{2})

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Solution

The correct option is B $π h (r_{1}^{2} - r_{2}^{2})$
In case of hollow cylinder, we measure two radius, one for inner circle and one for outer circle formed by the base of hollow cylinder.
Suppose, $r_{1}$ is the outer radius and $r_{2}$ is the inner radius of the given hollow cylinder with h as the height, then the volume of this cylinder can be written as $π h (r_{1}^{2} - r_{2}^{2})$ .

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