Question

find the volume of the sphere. round your answer to the nearest tenth
the volume is about cubic feet

Explanation:

Step1: Recall 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 \(r = 2\) ft. Substitute \(r = 2\) into the formula: \(V=\frac{4}{3}\pi(2)^{3}\).
First, calculate \((2)^{3}=2\times2\times2 = 8\). Then \(V=\frac{4}{3}\pi\times8=\frac{32}{3}\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(V=\frac{32}{3}\times3.14\).
\(\frac{32}{3}\times3.14=\frac{32\times3.14}{3}=\frac{100.48}{3}\approx33.5\)

Answer:

\(33.5\)