A sphere of diameter 40 cm is completely enclosing a right circular cone whose height is not more than 16 cm and base radius is not more than 12 cm. The minimum volume of sphere outside the cone will be

The sphere has a radius of 20 cm, so its volume is four thirds times pi times 20 cubed, which is about 33510 cubic cm. The cone volume is one third times pi times 12 squared times 16, which is 768 times pi or about 2413 cubic cm. This means the cone takes up only about 7.2 percent of the sphere. The volume of the sphere outside the cone is the remaining 92.8 percent, which is nearly 92 percent of the sphere's volume.

• Thanks
• Wrong explanation