# Math

posted by .

A right circular cylinder with a height of 20 cm and a right circular cone share a circular base and have the same volume. What is the height of the cone?

• Math -

Cone V = 1/3π(r^2)h

Cylinder V = π(r^2)h

1/3π(r^2)h = π(r^2)h

Dividing both sides by π(r^2) and inserting value for h:

1/3h = 20

h = ?

• BIOLOGY -

20

## Similar Questions

1. ### Math

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing …
2. ### math

Consider the right circular cone shown. If the radius of the circular base remains the same and the height varies, what are the minimum surface area and minimum volume the cone can have?
3. ### math

Consider the right circular cone shown. If the radius of the circular base remains the same and the height varies, what are the minimum surface area and minimum volume the cone can have?
4. ### math

Consider the right circular cone shown. if the radius of the circular base remains the same and the height varies, what is the minimum surface area and minimum volume the cone can have?
5. ### Calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have …
6. ### Calculus (Math 2A)

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing …
7. ### calculus

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing …
8. ### Geometry

One right circular cone is set inside a larger circular cone. The cones share the same Axis, the same vertex, and the same height. Find the volume of the space between the cones of the diameter of the inside cone is 6in., the diameter …