V = 43πr3
A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answers in terms of π)
A 108π in.3
B 144π in.3
C 192π in.3
D 2304π in.3
To find the volume of the beach ball, we can substitute the given value of the radius (r = 12 in.) into the formula V = 43πr^3:
V = 43π(12^3)
V = 43π(1728)
V = 74088π
Therefore, the beach ball will hold 74088π cubic inches of air.
However, none of the answer choices match this result. The closest option is 108π in.3, which is exactly one-third of the correct answer.
Therefore, the correct answer is A) 108π in.3