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

Answer:

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

Step-by-step 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 :

$V_{cone}=\dfrac{1}{3}\pi r^2h$ ...(2)

From equation (1) and (2),

$\dfrac{V_{cy}}{V_{cone}}=\dfrac{\pi r^2 h}{\dfrac{1}{3}\pi r^2 h}\\\\=3\\\\V_{cy}=3\times V_{cone}$

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