SOLUTION: a hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. find the volume of the foam
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Question 1008032: a hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. find the volume of the foam
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The volume of the foam would be the volume of the cube minus the volume of the sphere...say the sphere has a radius of r, then the cube has a side of 2r...then we have
V(foam) = V(cube) - V(sphere)
V(foam) = (2r)^3 - (4/3)(pi)r^3
V(foam) = 8r^3 - (4/3)(pi)r^3
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