Question

The volume of a sphere is 32

3
π cubic centimeters. What is the radius?

Sphere V = 4
3
πr3

1. Substitute 32
3
into the volume formula for V:    32
3
π = 4
3
πr3

2. Multiply both sides of the equation by 3
4
:        8π = πr3

3. Divide both sides of the equation by π.         8 = r3

4. Take the cube root of both sides:          3√8 = r

The radius of the sphere is
cm.

Answer 1

2 I took the assignment

Explanation:

Answer 2

The radius of sphere is 2 cm.

Explanation:

Given that,

Volume of a sphere is,
`V=(32)/(3)\pi cm^3`

We need to find the radius of sphere. The formula of volume of sphere is given by :

`V=(4)/(3)\pi r^3`

r is radius of sphere

Substitute the value of V in above formula. So,

`(32)/(3)\pi =(4)/(3)\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm`

So, the radius of sphere is 2 cm.