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Question:

# A cylinder whose height is 8 cm has a volume of $128πcm^3$. If its radius is doubled and its height is cut in half, the volume of the resulting cylinder is _____.

A $256πcm^3$
explanation

The volume of a cylinder is $πr^2h$. In the original cylinder, $πr^2h = 128π$ so $r^2(128π/8π) = 16$ and the radius, r, equals √16 = 4. In the new cylinder, the radius is doubled to 8 and the height is cut in half to 4. The resulting volume is $π × 8^2 × 4 = 256πcm^3$.

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3 years ago

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