Question
A solid right circular cylinder of radius 7 cm and
height 10 cm is melted and recast into right circular cones each of radius 7 cm and height 5 cm. How many cones are formed?Solution
Volume of cylinder = πr²h = π × 7² × 10 = 490π Volume of one cone = (1/3)πr²h = (1/3)π × 7² × 5 = (1/3)π × 49 × 5 = (245/3)π Number of cones = 490π / ((245/3)π) = 490 × 3 / 245 = (490/245) × 3 = 2 × 3 = 6
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