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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.

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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.

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It is given that radius of the sphere (R) = 4.2 cm

Radius of cylinder (r) = 6 cm

Height of cylinder = h

It is given that the sphere is melted into a cylinder.

Volume of Sphere = Volume of Cylinder

∴ (4/3) × π × R= π × r2×h.

h = 2.74 cm

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