Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
20 m
cubic meters
submit

Explanation:

Step1: Find the radius

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

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:
\(V=\frac{4}{3}\pi(10)^{3}=\frac{4}{3}\pi\times1000=\frac{4000\pi}{3}\).
Using \(\pi\approx3.14159\), we have \(V=\frac{4000\times3.14159}{3}\).
\(4000\times3.14159 = 12566.36\), then \(V=\frac{12566.36}{3}\approx4188.79\)

Answer:

\(4188.79\)