A cylinder has a volume of 405 units if a cone has the same radius and the same height as the cylinder how many cubic units is the volume of the cone

Therefore,

Volume of the cone is 135 cubic units.

Step-by-step explanation:

Given:

Volume of Cylinder = 405 units³

Radius and Height are same for both Cone and Cylinder

To Find:

Volume of Cone = ?

Solution:

We know that

And

Dividing the two volumes we get

On Cancellation as Radius and Height are same for both Cone and Cylinder we get

Substituting the values we get

Therefore,

Volume of the cone is 135 cubic units.