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cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double theolume of the barrel?

cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension-example-1

1 Answer

5 votes

ANSWER:

Height

Explanation:

The volume of a cylinder is given as follows:


\begin{gathered} V=\pi\cdot r^2\cdot h \\ \text{ therefore:} \\ V=\pi\cdot(2r)^2\cdot h=4\pi\cdot r^2\cdot h=4V \\ V=\pi\cdot r^2^{}\cdot2h=2\pi\cdot r^2\cdot h=2V \end{gathered}

If we double the radius, the volume would be 4 times greater, while if we double the height, the volume would be double.

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