Question

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of 7)

Answer 1

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,

$V=\frac{4}{3} \pi r^3$

Substituting r = 12 in the above formula, we get;

$V=\frac{4}{3} \pi (12)^3$

Simplifying the terms, we have;

$V=\frac{4}{3} \pi (1728)$

$V=\frac{6912}{3} \pi$

$V=2304 \pi$

Thus, the amount of air that the beach ball will hold is 2304π in³

Hence, Option D is the correct answer.