Question

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.

Answer 1

The volume of a cone with diameter d and height h is given by:

`V=(1)/(3)\cdot h\cdot\pi\cdot((d)/(2))^2`

If d = 6 in and h = 12 in, we have:

`\begin{gathered} V=(1)/(3)\cdot12\cdot\pi\cdot((6)/(2))^2 \\ V=36\pi\text{ in}^3 \end{gathered}`