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?
Accepted Solution
A:
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 millimetersLet the radius of the balloon = rNow, 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 millimeterHence, the radius of the inflated spherical balloon is 45 millimeters.