Best Answer

The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height

Q: How is the volume of a cone and a cylinder related?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The cone has 1/3 of the volume of the cylinder.

multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone

The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.

The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.

Separate them into parts. First calculate the volume of the cylinder, then the cone and then add the results

Related questions

The cone has 1/3 of the volume of the cylinder.

If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.

multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone

The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.

The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.

Separate them into parts. First calculate the volume of the cylinder, then the cone and then add the results

The volume of a cone is exactly equal to one third the volume of a cylinder of equal height and radius. The volume of a cylinder is equal to πr2h, so the volume of a cone is πr2h/3

If you look at the formulas for volume of a cone and volume of a cylinder you can see that a cone will fit in exactly three times if the height and radius of the cone and cylinder are equivalent. A cone has the equation: (1/3)*pi*(r^2)*h=Volume. And a cylinder has the equation: pi*(r^2)*h=Volume. With h equaling height and r equaling radius, you can see that 3*(Volume of a cone)=Volume of a cylinder. Therefore, the cone would fit in three times if height and radius are equivalent for the two figures.

Cubed

A cylinder.

Volume of cylinder = PI r^2 h where r = radius and h= height Volume of Cone = (1/3) PI r^2 h where r=radius and h= height Therefore, the volume of a cone is one-third of the volume of a cylinder.

volume=pi*radius squared*height/3, where radius is the radius of the cylinder (and will be the radius of the base of the cone),and height is the lenth of the cylinder.