Question

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

Answer 1

`r=(3 (v)/(4 \pi ) )^(1/3) =(3* (381.51)/(4 \pi ) )^(1/3) = 4.499`

Answer 2

Answer: 4.5 feet

Explanation:

The volume of the sphere is given by :-

`\text{Volume of sphere}=(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 =(4)/(3)\pi r^3\\\\\Rightarrow\ r^3=121.5*(3)/(4)\\\\\Rightarrow\ r^3=91.125\\\\\Rightarrow\ r=4.5\ ft.`

Hence, the radius of sphere = 4.5 feet.