The volume of a cylinder is 180 cubed meters. What is the volume of a cone with the same radius and height as the cylinder?

60 cubic meters will be the volume of such cone.

Step-by-step explanation:

Formula for volume of a cylinder:

Where is the radius of base of cylinder

and is the height of cylinder

V = 180 cubic meters

Formula for volume of a cone:

Where is the radius of base of cone

and is the height of cone

Now, it is given that height and radius of cone are equal.

Putting the values in equation (2):

Using equation (1):

Putting V = 180 cubic meters

Hence, 60 cubic meters will be the volume of such cone.