If R is the outer radius of a hollow cylinder, r its inner radius, and h its height, then its volume (in cu. units) is:

2 π (R^{2} - r^{2}) h

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π (R - r)^{2} h

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2 π (R - r)^{2} h

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π (R^{2} - r^{2}) h

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Solution

The correct option is D $π (R^{2} - r^{2}) h$
External volume = $π R^{2} h$
Internal volume $= π^{2} h$
Volume = External volume - Internal volume
$= π R^{2} h - π r^{2} h$
$= π (R^{2} - r^{2}) h$

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If R is the outer radius of a hollow cylinder, r its inner radius, and h its height, then its volume (in cu. units) is:

The correct option is D π(R2−r2)hExternal volume =πR2h Internal volume =π2h Volume = External volume - Internal volume =πR2h−πr2h =π(R2−r2)h

The correct option is D $π (R^{2} - r^{2}) h$
External volume = $π R^{2} h$
Internal volume $= π^{2} h$
Volume = External volume - Internal volume
$= π R^{2} h - π r^{2} h$
$= π (R^{2} - r^{2}) h$