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)

A)
1087 in 3
14411 in 3
1921 in.3
D
230471 in.3

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=(4)/(3) \pi r^3`

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

`V=(4)/(3) \pi (12)^3`

Simplifying the terms, we have;

`V=(4)/(3) \pi (1728)`

`V=(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.