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 :
[tex]V_{cy}=\pi r^2 h[/tex] .....(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 :
[tex]V_{cone}=\dfrac{1}{3}\pi r^2h[/tex] ...(2)
From equation (1) and (2),
[tex]\dfrac{V_{cy}}{V_{cone}}=\dfrac{\pi r^2 h}{\dfrac{1}{3}\pi r^2 h}\\\\=3\\\\V_{cy}=3\times V_{cone}[/tex]
So, the volume of the cylinder is 3 times the volume of the cone.