Question
A sphere of radius 6 cm is melted and recast into 27
identical cylinders of radius 2 cm. Find height of each cylinder.Solution
ATQ, Volume sphere = (4/3)π(6³) = (4/3)π×216 = 288π Volume of 1 cylinder = πr²h = π×4×h = 4πh 27 cylinders volume = 27×4πh = 108πh 108πh = 288π => h = 288/108 = 8/3 cm
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