Question

Find the radius of a sphere with a volume of 121.5π cubic feet

Answer 1

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

Answer 2

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.