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What is the volume of a cylinder, in cubic ft, with a height of 12ft and a base diameterof 12ft? Round to the nearest tenths place,

User Ratul Sharker
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1 Answer

16 votes
16 votes

To get the volume of a cylinder, we multiply its height by the base area:


V=A_b\cdot h

The area is a circle if diameter equals 12 ft, so, its radius is half that, 6 ft.

The area of a circle is:


\begin{gathered} A_b=\pi r^2 \\ A_b=\pi6^2=36\pi \end{gathered}

So, we input the area of the base to get the volume of the cylinder:


\begin{gathered} V=A_b\cdot h \\ V=36\pi\cdot12 \\ V=432\pi \\ V=1357.168\ldots\approx1357.2 \end{gathered}

So, the volume is approximately 1357.2 ft³

User Bananafish
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