SOLUTION: A sphere and a cube have same volume. Find the ratio of the lenght of the side of the cube to the radius of the sphere.
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Question 443127: A sphere and a cube have same volume. Find the ratio of the lenght of the side of the cube to the radius of the sphere.
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
As you know the volume of the sphere with radius r is:, and
the volume of the cube with length a is:.
To find the ratio , we know that , substituting:
=> => , and,
a/r=cubed root of or
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