Best Answer

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.

Q: How do you prove that a cone will fit into a cylinder exactlly 3 times?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.

3 times

cylinder has 2 and cone one

A cylinder has 3 faces, a cone 2. A cylinder has 2 edges, a cone 1. A cylinder consists of 2 circles and 1 rectangle, a cone consists of 1 circle and 1 semicircle.

It is a cylinder

Related questions

Cubed

It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.

3 times

Actually it isn't. That's the formula for a cylinder. A cone is 1/3 of that value.

cylinder has 2 and cone one

A cylinder has 3 faces, a cone 2. A cylinder has 2 edges, a cone 1. A cylinder consists of 2 circles and 1 rectangle, a cone consists of 1 circle and 1 semicircle.

It is a cylinder

A cylinder and a cone are 2 different things, so no.

No.

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.

cone has 2 cylinder has 3 good luck, lm 92 cone: 1 face cylinder:2 faces

No, there is no reason for a cone and a cylinder to have anything congruent.