Question

what is the volume of a sphere with a radius of 24.2 ft, rounded to the nearest tenth of a cubic foot? answer attempt 1 out of 2 ft³ submit answer

Explanation:

Step1: Write the formula for the volume of a sphere

The formula for the volume 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 \(r = 24.2\) ft. Then \(V=\frac{4}{3}\pi(24.2)^{3}\).
First, calculate \((24.2)^{3}=24.2\times24.2\times24.2 = 14172.488\).
Then, \(V=\frac{4}{3}\times\pi\times14172.488\).
\(\frac{4}{3}\times14172.488 = 18896.650667\).
So \(V=18896.650667\times\pi\).
Taking \(\pi\approx3.14159265\), then \(V\approx18896.650667\times3.14159265\approx59373.3\)

Answer:

\(59373.3\)