Question

what is the volume of a sphere with a radius of 8.8 in, rounded to the nearest tenth of a cubic inch?

Explanation:

Step1: Write the formula for the volume of a sphere

The formula for the volume \(V\) of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 8.8\) inches. Then \(V=\frac{4}{3}\pi(8.8)^{3}\).
First, calculate \((8.8)^{3}=8.8\times8.8\times8.8 = 681.472\).
Then \(V=\frac{4}{3}\pi\times681.472\).
\(\frac{4}{3}\times681.472 = 908.6293\cdots\).
So \(V = 908.6293\cdots\times\pi\).
Taking \(\pi\approx3.14159\), we have \(V\approx908.6293\times3.14159\).
\(V\approx2854.8\)

Answer:

\(2854.8\) cubic inches