Question

Find the radius of the sphere with the given volume. (15 points)
Please show your work!

Answer 1

r = 1/2

Explanation:

sphere volume = 4/3πr³

4/3πr³ = 1/6π

divide both sides of the equation by π:

4/3r³ = 1/6

multiply both sides by 6:

24/3r³ = 1

reduce:

8r³ = 1

divide both sides by 8:

r³ = 1/8

r = 1/2