Question

what is the volume of this sphere? round your answer to the nearest hundredth. 3.8 mm cubic millimeters submit

Explanation:

Step1: Find the radius

The diameter is \(d = 3.8\) mm. The radius \(r=\frac{d}{2}=\frac{3.8}{2}=1.9\) mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 1.9\) into the formula:
\(V=\frac{4}{3}\pi(1.9)^{3}\)
First, calculate \((1.9)^{3}=1.9\times1.9\times1.9 = 6.859\)
Then \(V=\frac{4}{3}\pi\times6.859\)
\(V=\frac{27.436}{3}\pi\)
Take \(\pi\approx3.14\), then \(V=\frac{27.436\times3.14}{3}\)
\(V=\frac{86.14904}{3}\approx28.72\)

Answer:

\(28.72\)