How is the volume of a cone and the volume of a sphere with the same radius and height related?

The volume of a sphere is twice the volume of a cone that has the same circular base and height. The formula for the volume of a sphere with radius r is V= r3.

Does a sphere and a cone have the same volume?

Answer. The volume of a cone is equal to that of a sphere.

How is the volume of a sphere related to the volume of a cone?

The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.

What is the relationship between the volume of cylinder to a similar cone with the same dimensions?

If a cone and a cylinder have bases (shown in color) with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Do cones with the same height have the same volume?

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet.

How do you find the volume of a cylinder sphere and cone?

1. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder.
2. The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together.
3. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).

How does the volume of a sphere relate to the volume of a cylinder?

What is the relationship between the volume of the sphere and the volume of the cylinder? (Answer: The sphere takes up two-thirds of the volume of the cylinder.)

What is the volume of the sphere as compared to the volume of the cylinder?

Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

What is the relationship of cylinder and sphere?

What is the relationship between cone and cylinder?

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Is the radius of cone same as height?

The radius of the cone is the radius of the base. The altitude of the cone is the perpendicular segment from the vertex to the plane of the base. The height of the cone is the length of the altitude.