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The frustum of a cone has its circular ends radius as 15 cm and 30 cm where the height is 10cm. Find the volume of the frustum.(a) 21544.4 cm^2(b) 16485 cm^2(c) 16570 cm^2(d) 16572.5 cm^2The question was asked in quiz.This is a very interesting question from Surface Area & Volumes in division Surface Area and Volumes of Mathematics – Class 10

Answer»

Correct answer is (b) 16485 cm^2

For explanation: r = 15 cm, R = 30 cm, h = 10 cm

The volume of a Frustum = \(\FRAC {1}{3}\)πh(r^2 + rR + r^2)

= \(\frac {1}{3}\) × 3.14 × 10 (225 + 450 + 900)

= 16485 cm^3



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