Question

the diameter of the base of the cone measures 8 units. the height measures 6 units. what is the volume of the cone? 24π cubic units 32π cubic units 48π cubic units 64π cubic units

Explanation:

Step1: Find the radius

The diameter $d = 8$ units, and the radius $r=\frac{d}{2}=\frac{8}{2}=4$ units.

Step2: Use the volume formula for a cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 4$ and $h=6$ into the formula: $V=\frac{1}{3}\pi\times4^{2}\times6$.

Step3: Calculate the volume

$V=\frac{1}{3}\pi\times16\times6=\pi\times16\times2 = 32\pi$ cubic units.

Answer:

32π cubic units