Question

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

Answer 1

According to question,

Volume of Sphere = Volume of Cylinder

                 4/3 πr₁³ = πr₂²h

Cancelling π on both sides,
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Then,     4/3 × 4.2 × 4.2 × 4.2 = 6 × 6 × h

                                             h = 4 × 4.2 × 4.2 × 4.2 / 3 × 6 × 6

                                             h = 2.744 cm
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Hence height of cylinder = 2.744 cm
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