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 = [tex]\frac{4}{3} \pi r^{3}[/tex]
⇒[tex]\frac{4}{3} \pi r^{3} = 121,500 \pi[/tex]
On solving for the value of r, we get:
[tex]r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}[/tex]
or, r = 45 millimeter
Hence, the radius of the inflated spherical balloon is 45 millimeters.
