Question

Please help! The volume of an inflated spherical water balloon is 121,500 pi millimeters to the third. What is the radius of the inflated water balloon?

Answer 1

The radius of the inflated spherical balloon is 45 millimeters.

Explanation:

Volume of the spherical water balloon = 121,500 pi cubic millimeters

Let the radius of the balloon = r

Now, Volume of a Sphere =
`(4)/(3) \pi r^(3)`

⇒
`(4)/(3) \pi r^(3)  = 121,500 \pi`

On solving for the value of r, we get:

`r^(3)  = (121,500* 3)/(4)   = 91125\\ \implies  r  = \sqrt[3]{91125}`

or, r = 45 millimeter

Hence, the radius of the inflated spherical balloon is 45 millimeters.