Question

question
find the volume of the right cone below. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Find the radius

The diameter of the base of the cone is \(d = 8\). The radius \(r=\frac{d}{2}\), so \(r=\frac{8}{2}=4\).

Step2: Use the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Here, \(r = 4\) and \(h=10\).
Substitute the values into the formula: \(V=\frac{1}{3}\times\pi\times4^{2}\times10\).
First, calculate \(4^{2}=16\). Then \(V=\frac{1}{3}\times\pi\times16\times 10=\frac{160\pi}{3}\).
Using \(\pi\approx3.14\), we have \(V=\frac{160\times3.14}{3}=\frac{502.4}{3}\approx167.5\).

Answer:

\(167.5\)