Question

The volume of a sphere is 36π in³. What is the radius of the sphere?

Answer 1

The equation for volume of a sphere is (4/3)πr^3, and you want to solve for r, so:
(4/3)πr^3 = 36π
÷ 4/3
πr^3 = 27π
÷ π
r^3 = 27
(cube root)
r = 3

So the radius is 3, I hope this helps!

Answer 2

The radius of the sphere is: 3 inches.

Volume of a Sphere

The volume of sphere with radius, r, is found using the formula, 4/3πr³.

Given:

Volume of sphere = 36π in³.

Radius (r) can be found as follows:

Volume = 4/3πr³

• Substitute

36π = 4/3πr³

36 = 4/3(r³)

• Multiply both sides by 3/4

36(3/4) = r³

27 = r³

r³ = 27

r = ∛27

r = 3 inches.

Therefore, the radius of the sphere is: 3 inches.

Learn more about volume of sphere on:

https://brainly.com/question/22807400