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.

Radius of sphere = 4.2 cm

Radius of cylinder = 6 cm

Given that the object formed by recasting the hemisphere will be the same in volume.

Hence, Volume of Sphere = Volume of Cylinder.

(4/3)πr3 = πr2h

(4/3)π(4.2)3 = π(6)2h

Therefore, h = (1.4)3

h = 2.744 cm.

Hence, the height of the cylinder is 2.744 cm.

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