Verified Answer :

\(r=(3 \frac{v}{4 \pi } )^{1/3} =(3* \frac{381.51}{4 \pi } )^{1/3} = 4.499\)

Answer: 4.5 feet

Step-by-step explanation:

The volume of the sphere is given by :-

\(\text{Volume of sphere}=\frac{4}{3}\pi r^3\)

The given volume of sphere = \(121.5\pi \text{cubic feet}\)

Let r be the radius of the given sphere.

\(\Rightarrow 121.5\pi =\frac{4}{3}\pi r^3\\\\\Rightarrow\ r^3=121.5\times\frac{3}{4}\\\\\Rightarrow\ r^3=91.125\\\\\Rightarrow\ r=4.5\ ft.\)

Hence, the radius of sphere = 4.5 feet.