Question

what is the volume of the following sphere? use the π button on the calculator when solving. round your answer to the nearest whole number. 4 cm cm³

Explanation:

Step1: Find the radius

The diameter \(d = 4\mathrm{cm}\), and the radius \(r=\frac{d}{2}\).
\(r=\frac{4}{2}=2\mathrm{cm}\)

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V = \frac{4}{3}\pi r^{3}\).
Substitute \(r = 2\) into the formula: \(V=\frac{4}{3}\pi(2)^{3}\).
First, calculate \(2^{3}=8\). Then \(V=\frac{4}{3}\pi\times8=\frac{32}{3}\pi\).
Using the \(\pi\) button on the calculator: \(V=\frac{32}{3}\times\pi\approx\frac{32}{3}\times3.141592654\approx33.51032164\)

Answer:

\(34\)