Question
A solid right circular cylinder of radius 7 cm and
height 10 cm is melted and recast into small right circular cones each of radius 3.5 cm and height 8 cm. How many such cones can be made?Solution
ATQ, Volume of cylinder = πr²h = π × 7² × 10 = 490π Volume of one cone = (1/3)πr²h = (1/3)π × 3.5² × 8 3.5² = 12.25 ⇒ V_cone = (1/3)π × 12.25 × 8 = (98/3)π Number of cones = Volume of cylinder / Volume of one cone = 490π / [(98/3)π] = 490 × 3 / 98 = 15
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