find the volume of the cone. either enter an exact answer in terms of π or use 3.14 for π.

Explanation:

Step1: Find the radius

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

Step2: Recall the volume formula

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

Step3: Substitute values

Substitute $r = 5$ and $h=6$ into the formula: $V=\frac{1}{3}\pi\times5^{2}\times6$.

Step4: Calculate the volume

$V=\frac{1}{3}\pi\times25\times6 = 50\pi$. If using $\pi = 3.14$, then $V=50\times3.14 = 157$.

Answer:

$50\pi$ (or 157 if using $\pi = 3.14$)