SOLUTION: If a sphere is inscribed within a cube, and the radius of the sphere is 3 ft., then what is the volume inside of the cube, but outside of the sphere?

SOLUTION: If a sphere is inscribed within a cube, and the radius of the sphere is 3 ft., then what is the volume inside of the cube, but outside of the sphere?

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Question 1011001: If a sphere is inscribed within a cube, and the radius of the sphere is 3 ft., then what is the volume inside of the cube, but outside of the sphere?

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If the radius is 3 feet, then the side of the cube is 6 feet.
Then the volume inside of the cube, but outside of the sphere,
V = V(cube) - V(sphere) =
V = =
V = 216 - (4/3)(pi)(27) =
V = 216 - 36(pi) cubic feet = about 103 cubic feet
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