Question

Fill in the blank:
The formula of the volume of a cone is ____.

• A. $\frac{1}{3}\times \pi r{h}^3$
• B. $\frac{1}{3}\times \pi r^{3}h$
• C. $\frac{1}{3}\times \pi r^{2}h$
• D. $\frac{1}{2}\times \pi r^{2}h$

Answer 1

Answer: (C)

$\frac{1}{3}\times \pi r^{2}h$

We know that, volume of a cylinder$=\pi r^{2}h$

A cone is one third of cylinder.

$\therefore Volumeofcone=\frac{1}{3}volumeofcylinder=\frac{1}{3}\pi r^{2}h$