Question

Find the ratio of the volume of a cone and of a cylinder whose base diameters and height are equal

Answer 1

hope the answer is correct

Answer 2

Answer:

Step-by-step explanation:

It is given that the diameter and heights of cone and cylinder are equal.

Let the height of cone and cylinder be h and the diameter of cone and cylinder be d.

Since both have same diameter, therefore they have same radius r.

The volume of cone is

v1 = 1/3 pi r^2 h

The volume of cylinder is

v2 =  pi r^2 h

The ratio of  the volumes of a cone and of a cylinder is

v1/v2=  1/3 pi r^2 h / pi r^2 h

=1/3

Therefore the ratio of  the volumes of a cone and of a cylinder = 1:3

hope it helps!!!