Question

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,

Answer 1

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