Question
A solid cylinder of radius 8 cm and height 21 cm is
melted and recast into cones each of radius 4 cm and height 7 cm. How many cones are formed?Solution
Volume of cylinder = pi r^2 h = pi x 8^2 x 21 = 1344pi Volume of one cone = 1/3 pi r^2 h = 1/3 pi x 4^2 x 7 = 1/3 pi x 16 x 7 = 112pi/3 Number of cones = 1344pi / (112pi/3) = 1344 x 3 / 112 = 12 x 3 = 36
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