Question

what is the volume of this sphere? round your answer to the nearest hundredth. 36 ft cubic feet

Explanation:

Step1: Find the radius

The diameter \(d = 36\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{36}{2}=18\) ft.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 18\) into the formula:
\(V=\frac{4}{3}\pi(18)^{3}\)
First calculate \(18^{3}=18\times18\times18 = 5832\).
Then \(V=\frac{4}{3}\pi\times5832\)
\(\frac{4}{3}\times5832=4\times1944 = 7776\)
So \(V = 7776\pi\)
Take \(\pi\approx3.14159\), then \(V\approx7776\times3.14159\)
\(V\approx24429.02\)

Answer:

\(24429.02\)