Question

what is the volume of this sphere? round your answer to the nearest hundredth. 27.8 mm cubic millimeters submit

Explanation:

Step1: Find the radius

The diameter \(d = 27.8\) mm. The radius \(r=\frac{d}{2}=\frac{27.8}{2}=13.9\) mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 13.9\) into the formula:

$$
LATEXBLOCK0
$$

Using \(\pi\approx3.14159\), we have \(V=\frac{10742.476\times3.14159}{3}\)

$$
LATEXBLOCK1
$$

Answer:

\(11249.50\) cubic millimeters