Question

What is the volume of an article which is made by digging out a hemisphere from each end of a solid cylinder?

(a) πr^2h + 2(2πr^3)

(b) 2πrh – 2(πr^2)

(c) 2πrh + 2(\(\frac {2}{3}\) πr^2)

(d) πr^2h – 2(\(\frac {2}{3}\)πr^3)

I have been asked this question during an interview.

This intriguing question originated from Surface Area and Volume of Combination of Solids in chapter Surface Area and Volumes of Mathematics – Class 10

Answer 1

Correct choice is (d) πr^2h – 2(\(\frac {2}{3}\)πr^3)

For explanation: Volume of the article = volume of the cylinder – 2(volume of the hemisphere)

= πr^2h – 2(\(\frac {2}{3}\)πr^3)