Question

opFind the volume of the cone. Round your answersto the nearest tenth37.7 in33393 in113.1 in

Answer 1

For this problem we are given the height of a cone, and the diamater of its base. From this information, we need to determine the volume of the cone.

The volume of a cone is given by the following formula:

$V=\pi\cdot r^2\frac{h}{3}$

The radius of the base is half the diameter, so we can determine the radius from the given information, as shown below:

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{6}{2}=3 \end{gathered}$

We can now use the formula for the volume.

$\begin{gathered} V=\pi\cdot(3)^2\cdot\frac{12}{3} \\ V=\pi\cdot9\cdot4 \\ V=113.04\text{ cubic inches} \end{gathered}$

The volume