
A spherical cannon ball, in diameter is melted and recast into a right circular conical mould, base of which is in diameter. Find the height of the cone.


Important Questions on Volume and Surface Areas of Solids
A spherical ball of radius is melted and recast into three spherical balls. The radii of two of these balls are and . Find the radius of third ball.
If the radius of third ball is , then find ?

A spherical shell of lead whose external and internal diameters are respectively and , is melted and recast into a right circular cylinder high. Find the diameter of the base of the cylinder.
If the diameter of the base of the cylinder is then find ?

A hemisphere of lead of radius is cast into a right circular cone of height . Find the radius of the base of the cone.
If the radius of the base of the cone is then find ?




The diameter of a sphere is . It is melted and drawn into a cylindrical wire of diameter . Find the length of the wire.
If the length of the wire is then find ?

The diameter of a copper sphere is . It is melted and drawn into a long wire of uniform cross section. If the length of the wire is , find its diameter.
If diameter is then find ?
