Cylinder

Geometry Level 2

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true?

Volume of the cylinder will be doubled Volume of the cylinder will remain unchanged Volume of the cylinder will be halved Volume of the cylinder will be

\frac{1}{4}

of the original volume Volume of the cylinder will be tripled

1 solution

Marta Reece
May 9, 2017

$V_1=\pi\times h\times R^2$

$V_2=\pi\times \frac{h}{4}\times (2R)^2= \pi\times \frac{h}{4}\times 4 R^2=\pi\times h\times R^2=V_1$

Cylinder

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