Question
A solid cylinder of radius 4 cm and height 9 cm is
melted and recast into right circular cones of radius 2 cm and height 6 cm. How many such cones can be made?Solution
Volume of cylinder = πr²h = π × 4² × 9 = 144π Volume of one cone = (1/3)πr²h = (1/3)π × 2² × 6 = (1/3)π × 4 × 6 = 8π Number of cones = 144π / 8π = 18.
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