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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

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wegnerkolmp2741o

Answer:

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

Answer:

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

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