Question

find the volume of the following cone.
a 50π
b 60π
c 75π
d 90π

Explanation:

Step1: Find the radius

The diameter is 10, so the radius $r=\frac{10}{2}=5$.

Step2: Recall the volume formula for a cone

The volume formula for a cone is $V = \frac{1}{3}\pi r^{2}h$. Here, $r = 5$ and $h=6$.

Step3: Calculate the volume

$V=\frac{1}{3}\pi\times5^{2}\times6=\frac{1}{3}\pi\times25\times6 = 50\pi$.

Answer:

A. $50\pi$