A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Given

Radius of the sphere (R) = 4.2 cm

Radius of cylinder (r) = 6 cm

Find out

We have to find the height of the cylinder

Solution

let height of cylinder = h

Volume of cylinder = Volume of sphere

πr2h = 4/3πR3

π(6)2h = 4/3π(4.2)3

36h = 4/3(4.2 × 4.2 × 4.2)

h=

h = 1.4 × 1.4 × 1.4 (cm)

h = 2.74 cm

Answer

Hence, the height of cylinder = 2.74cm

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