How does the volume of a cone compare to the volume of a cylinder with the same radius and helght?

The volume of a cone is 1/3 of the volume of the cylinder.

Step-by-step explanation:

The formula for a cylinder is:

V = bh

For a cone:

V = 1/3(bh)

If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:

The volume of a cone is 1/3 the volume of the cylinder.

Example to prove:

Given, radius 2 and height 15:

Cylinder: V = bh (b = πr²)

V = 4π × 15

V = 60π u³

Cone: V = 1/3 (bh)

V = 1/3 (4π × 15)

V = 20π u³

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