A spherical shell of lead, whose external diameter is 18 cm, is melted and recast into a right circular cylinder, whose height is 8 cm and diameter 12 cm. Determine the internal diameter of the shell.

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Solution

External radius of spherical shell

Let r₂ be the internal radius of spherical shell.

Height of right circular cylinder h = 8 cm

& radius of right circular cylinder

Clearly, volume of spherical shell = volume of right circular cylinder

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A spherical shell of lead, whose external diameter is 18 cm, is melted and recast into a right circular cylinder, whose height is 8 cm and diameter 12 cm. Determine the internal diameter of the shell.

External radius of spherical shell Let r2 be the internal radius of spherical shell. Height of right circular cylinder h = 8 cm & radius of right circular cylinder Clearly, volume of spherical shell = volume of right circular cylinder

External radius of spherical shell

Let r₂ be the internal radius of spherical shell.

Height of right circular cylinder h = 8 cm

& radius of right circular cylinder

Clearly, volume of spherical shell = volume of right circular cylinder