Question
A solid cylinder of radius 7 cm and height 15 cm is
melted and recast into small cones each of radius 3.5 cm and height 6 cm. How many cones are formed?Solution
ATQ, Volume of cylinder = pi r2 h = pi x 72 x 15 = 735pi Volume of one cone = (1/3)pi r^2 h = (1/3)pi x (3.5)2 x 6 = 2pi x 12.25 = 24.5pi Number of cones = 735pi / 24.5pi = 30
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