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

Answer:

The radius of the inflated spherical balloon  is 45 millimeters.

Step-by-step explanation:

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

Let the radius of the balloon = r

Now, Volume of a Sphere = $\frac{4}{3} \pi r^{3}$

⇒$\frac{4}{3} \pi r^{3} = 121,500 \pi$

On solving for the value of r, we get:

$r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}$

or, r  = 45 millimeter

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