Question

what is the volume of this sphere? round your answer to the nearest hundredth. 14 mm cubic millimeters submit

Explanation:

Step1: Find the radius

The diameter \(d = 14\) mm. The radius \(r=\frac{d}{2}=\frac{14}{2}=7\) mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V = \frac{4}{3}\pi r^{3}\). Substitute \(r = 7\) into the formula: \(V=\frac{4}{3}\pi(7)^{3}\).
First, calculate \(7^{3}=7\times7\times7 = 343\). Then \(V=\frac{4}{3}\pi\times343=\frac{1372\pi}{3}\).
Using \(\pi\approx3.14159\), \(V=\frac{1372\times3.14159}{3}\).
\(1372\times3.14159 = 4308.66148\). Then \(V=\frac{4308.66148}{3}\approx1436.22\)

Answer:

\(1436.22\)