Find the radius of a sphere with a volume of 121.5π cubic feet
\(r=(3 \frac{v}{4 \pi } )^{1/3} =(3* \frac{381.51}{4 \pi } )^{1/3} = 4.499\)
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.