Question

what is the volume of a sphere with a radius of 6.9 ft, rounded to the nearest tenth of a cubic foot?

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 \(r = 6.9\) ft. Then \(V=\frac{4}{3}\pi(6.9)^{3}\).
First, calculate \((6.9)^{3}=6.9\times6.9\times6.9 = 328.509\).
Then \(V=\frac{4}{3}\pi\times328.509\).
\(\frac{4}{3}\times328.509 = 438.012\).
So \(V = 438.012\pi\).
Using \(\pi\approx3.14\), we have \(V\approx438.012\times3.14=1375.35768\).

Answer:

\(1375.4\) cubic feet