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A toy is in the form of a cone mounted on a hemisphere and a cylinder. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid?(a) 193.21 m^3(b) 207.30 m^3(c) 184.21 m^3(d) 282.21 m^3The question was asked at a job interview.Question is taken from Surface Area and Volume of Combination of Solids topic in portion Surface Area and Volumes of Mathematics – Class 10

Answer»

The correct CHOICE is (b) 207.30 m^3

Explanation: Volume of the TOY = volume of the cone + volume of the hemisphere + volume of the CYLINDER

= \(\frac {1}{3}\)πr^2h + \(\frac {2}{3}\)πr^3 + πr^2h

= (\(\frac {1}{3}\) × 3.14 × 3^2 × 4) + (\(\frac {2}{3}\) × 3.14 × 3^3) + (3.14 × 3^2 × 4)

= 207.30 m^3



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