Question

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

A
2.744 cm
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B
4.818 cm
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C
5.822 cm
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D
6.136 cm
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Solution

The correct option is A 2.744 cmRadius of metallic sphere = r = 4.2 cm Radius of cylinder = r1 = 6 cm Let height of cylinder = h cm Since the metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm, the volume of the metallic sphere is equal to the volume of the cylinder. ⇒43πr3=π(r21)h ⇒43×4.2×4.2×4.2=6×6×h ⇒ h=43×4.2×4.2×4.26×6 ⇒ h=2.744 cm

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