Question

What is the difference between the formula of the volume of the cylinder and the volume of a cone? What do the formulas have in common?

Answer 1

The volume of the cylinder is 3 times the volume of the cone

Explanation:

The formula for the volume of the cylinder is given by :

`V_(cy)=\pi r^2 h` .....(1)

Where

r and h are the radius and the height of the cylinder

The formula for the volume of the cone is given by :

`V_(cone)=(1)/(3)\pi r^2h` ...(2)

From equation (1) and (2),

`(V_(cy))/(V_(cone))=(\pi r^2 h)/((1)/(3)\pi r^2 h)\\\\=3\\\\V_(cy)=3* V_(cone)`

So, the volume of the cylinder is 3 times the volume of the cone.