A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)
The equation to find the volume of a sphere is V=4/3(pi)r^3.
So I cubed 12, times by 4, and divided by 3, so the volume of the beach ball is 2,304(pi) cubic inches. Hope this helps.
Answer:
Volume of beach ball is \(2304\pi\ in^{3}\) .
Step-by-step explanation:
Formula
\(Volume\ of\ sphere = \frac{4}{3}\pi r^{3}\)
Where r is the radius of the sphere .
As given
A beach ball has a radius of 12 in.
r = 12 in
\(Volume\ of\ beach\ ball= \frac{4}{3}\pi\times 12\times 12\times 12\)
\(Volume\ of\ beach\ ball= \frac{4\times 12\times 12\times 12}{3}\pi\)
\(Volume\ of\ beach\ ball= 2304\pi\ in^{3}\)
Therefore the volume of beach ball is \(2304\pi\ in^{3}\) .