Question

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

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 for 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 \(V = 7776\pi\).
Using \(\pi\approx3.14159\), \(V\approx7776\times3.14159\).
\(V\approx24429.02\) (rounded to the nearest hundredth).

Answer:

\(24429.02\)