1.

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»

We know that, 

Volume of cone = \(\frac{1}{3}\)πr2

Volume of cylinder = πr2

Hence, 

volume of cone : volume of cylinder 

= \(\frac{1}{3}\)πr2h : πr2

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



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