Find the volume of a cone with a base diameter of 6 in and a height of 12 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.

The volume of a cone with diameter d and height h is given by:
[tex]V=\frac{1}{3}\cdot h\cdot\pi\cdot(\frac{d}{2})^2[/tex]If d = 6 in and h = 12 in, we have:
[tex]\begin{gathered} V=\frac{1}{3}\cdot12\cdot\pi\cdot(\frac{6}{2})^2 \\ V=36\pi\text{ in}^3 \end{gathered}[/tex]