A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form

Your correct answer is 500/3 cm^3

I will show you how and tell you why it is 500/3 cm^3 down below:

Explanation:

The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

r = d/2 = 10/2 = 5 cm

and right here I will show you the volume of the sphere:

v = 4/3 r^3

= 4/3 (5) ^3

= 500/3 cm^3

Showing these results, you can see that the answer is 500 / 3 cm^3

500 / 3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is

r = d/2 = 10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

= 4/3 pi (5) ^3

= 500 / 3 pi cm^3