Question

An exercise ball has a diameter of 60 cm . How much air is used to fill the ball, in terms of pi?

Answer 1

To answer this question we will use the following formula to compute the volume of a sphere:

`Volume=(\pi diameter^3)/(6)`

Recall that an exercise ball is a sphere, since it has a diameter of 60cm, then its volume is:

`Volume=(\pi(60cm)^3)/(6)=(\pi *216000cm^3)/(6).`

Simplifying the above result we get:

`Volume=36000\pi cm^3.`

Therefore we need 36000π cubic centimeters of air in order to fill the ball.

Answer: 36000π cubic centimeters of air.