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?

Algebra ->  Volume -> 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?       Log On


   



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) About Me  (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 = s%5E3+-+%284%2F3%29%28pi%29%28r%5E3%29 =
V = 216 - (4/3)(pi)(27) =
V = 216 - 36(pi) cubic feet = about 103 cubic feet