A hemispherical bowl of internal and external diameters 6 cm and 10 cm, respectively is melted and formed into a right circular cylinder of radius 14 cm. Find the height of the cylinder.

Given, outer diameter of the hemispherical bowl

(D)=10 cm

∴ Outer radius of the hemispherical bowl

®=10/2 cm=5 cm

and inner diameter of the hemispherical bowl

(d)=6 cm

∴ Inner radius of the hemispherical bowl

®=6/2= 3 cm

Now, volume of the hemispherical bowl=Volume of a hollow hemisphere

and volume cylinder of height h and radius 14 cm

According to the question,

Volume of the hemispherical bowl=Volume of the cylinder