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The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
Radius is the cube root of (36*3)/(4*pi) = 2.04835219 units or about 2.05 units
The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
Let the radius of the largest sphere that can be carved out of the cube be r cm.The largest sphere which can be carved out of a cube touches all the faces of the cube.∴ Diameter of the largest sphere = Edge of the cube⇒ 2r = 7 cm∴ Volume of the largest sphere