Question

Express the volume of a cone in terms of volume of right circular cylinder of the same base and height and explain how you arrived at it.

Answer 1

We know that, 

Volume of cone = \(\frac{1}{3}\)πr²h 

Volume of cylinder = πr²h 

Hence, 

volume of cone : volume of cylinder 

= \(\frac{1}{3}\)πr²h : πr²h 

Hence, volume of cone = \(\frac{1}{3}\) × volume of cylinder.