The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use 3.14 for π. r = \sqrt{ (3v)/(4\pi) } ​

Question

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use 3.14 for π.


`r = \sqrt{ (3v)/(4\pi) }`
​

Answer 1

Answer: 4.1 inches

Explanation:

Answer 2

The radius of the volleyball is 8.3 inches

Explanation:

Given

`r = \sqrt{(3v)/(4\pi)}`

`v = 288`

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

`r = \sqrt{(3v)/(4\pi)}`

`r = \sqrt{(3 * 288)/(4 * 3.14)}`

`r = \sqrt{(864)/(12.56)}`

`r = √(68.7898089172)`

`r = 8.29396219651`

`r = 8.3\ inch` (Approximated)

Hence;

The radius of the volleyball is 8.3 inches