the diameter of the base of the cone measures 8 units. the height measures 6 units. what is the volume of…

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 8$ units, so $r=\frac{d}{2}=\frac{8}{2}=4$ units.

Step2: Use the cone - volume formula

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 4$ units and $h = 6$ units into the formula. $V=\frac{1}{3}\pi\times4^{2}\times6$. First, calculate $4^{2}=16$. Then, $\frac{1}{3}\times16\times6=\frac{16\times6}{3}=32$. So $V = 32\pi$ cubic units.

Answer:

32π cubic units