Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
20 ft
cubic feet

Explanation:

Step1: Find the radius

The diameter \(d = 20\) ft. The radius \(r=\frac{d}{2}\), so \(r = 10\) ft.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 10\) into the formula: \(V=\frac{4}{3}\pi(10)^{3}\).
First, calculate \((10)^{3}=1000\). Then \(V=\frac{4}{3}\pi\times1000=\frac{4000\pi}{3}\).
Using \(\pi\approx3.14159\), \(V=\frac{4000\times3.14159}{3}\).
\(4000\times3.14159 = 12566.36\). Then \(V=\frac{12566.36}{3}\approx4188.79\)

Answer:

\(4188.79\)