SOLUTION: Hello, I have two questions I don't quite understand: 1. A sphere and a cube have the same volume. Find the ratio of the length of the side of the cube to the radius of the

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Question 1081563: Hello,
I have two questions I don't quite understand:
1. A sphere and a cube have the same volume. Find the ratio of the length of the side of the cube to the radius of the sphere.
2. A sphere has radius r. A cone has the same base radius as the sphere and height h. If they have the same volume, find the ratio of h : r.
Thank you!
Josh

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
For a sphere,

For a cube,

So,



.
.
.
For a cone,

So,




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