Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
8 mm
cubic millimeters

Explanation:

Step1: Find the radius

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

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 4\) into the formula: \(V=\frac{4}{3}\pi(4)^{3}\).
First, calculate \(4^{3}=4\times4\times4 = 64\). Then \(V=\frac{4}{3}\pi\times64=\frac{256\pi}{3}\).
Take \(\pi\approx3.14159\). So \(V=\frac{256\times3.14159}{3}\).
\(256\times3.14159 = 804.24704\). Then \(V=\frac{804.24704}{3}\approx268.08\) (rounded to the nearest hundredth).

Answer:

\(268.08\)