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

$Volume\ of\ Cone = \frac{1}{3} \times Volume\ of\ Cylinder$

Step-by-step explanation:

We know that,$Volume\ of\ Cone = \frac{1}{3}\pi r^2h$

                        $Volume\ of\ Cylinder =\pi r^2h$

If the base and height are same.

⇒Radius and height are same.

Hence,Volume of Cone : Volume of Cylinder =  \frac{1}{3}\pi r^2h[/tex] : \pi r^2h[/tex]

            Volume of Cone : Volume of Cylinder= 3:1

Hence,$Volume\ of\ Cone = \frac{1}{3} \times Volume\ of\ Cylinder$