Question

A solid is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid?

(a) 93.21 m^3

(b) 94.21 m^3

(c) 84.21 m^3

(d) 82.21 m^3

This question was addressed to me during an interview for a job.

The question is from Surface Area and Volume of Combination of Solids in section Surface Area and Volumes of Mathematics – Class 10

Answer 1

The correct option is (b) 94.21 m^3

Easiest explanation: Volume of the solid = volume of the cone + volume of the hemisphere

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

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

= 94.21 m^3