Question

If the amount of air in a spherical balloon is 288π cu in., what is the radius of the balloon?

Answer 1

The answer you are looking for is: 
6in 
Hope that helps!! 
Have a wonderful day!!

Answer 2

Answer:

Radius of the balloon is 6 inches.

Step-by-step explanation:

We have been given that  amount of air in a spherical balloon is 288π cu in.

It means the volume of the spherical balloon is $V=288\pi$

The volume of a sphere is given by

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

On substituting the value, we get

$288\pi=\frac{4}{3}\pi r^3$

Cancel π from both side

$288=\frac{4}{3} r^3$

Solving the equation for r

$r^3=\frac{288\times3}{4}\\\\r^3=216\\\\r=6$

Therefore, the radius of the balloon is 6 inches.