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

Given:Radius (r1) of hemisphere=4.2cmRadius (r2) of cylinder=6cmHeight (h) = ?The object formed by recasting the hemisphere will be same in volume.So,Volume of sphere = Volume of cylinder4/3πr1³=πr2²h⟹4/3π×(4.2)³=π(6)²h⟹4/3×4.2×4.2×4.2/6×6=h⟹h=(1.4)³=2.74 cmTherefore, the height of cylinder so formed will be 2.74cm.