Given:
Given that a beach ball has a radius of 12 inches.
We need to determine the amount of air that the beach ball hold.
Air that the beach ball hold:
The amount of air that the beach ball hold can be determined using the formula,
[tex]V=\frac{4}{3} \pi r^3[/tex]
Substituting r = 12 in the above formula, we get;
[tex]V=\frac{4}{3} \pi (12)^3[/tex]
Simplifying the terms, we have;
[tex]V=\frac{4}{3} \pi (1728)[/tex]
[tex]V=\frac{6912}{3} \pi[/tex]
[tex]V=2304 \pi[/tex]
Thus, the amount of air that the beach ball will hold is 2304π in³
Hence, Option D is the correct answer.
