Samuel cut a cone from a piece of wood shaped as a cylinder. He measured the circumference of the base of the cylinder and found that it measured 3πinches. The height of the cylindrical piece of wood was 6 inches. What is the approximate volume of Samuel's cone if it has the same base area and height as the cylinder?

The approximate volume of the cone is 14 cube inches.

Step-by-step explanation:

Circumference of the base of the cylinder = 3π inches

Height of the cylindrical piece of wood = 6 inches

volume of a cone = h

But,

circumference = 2πr

3π = 2πr

r =

  = 1.5 inches

Radius of the base of the cylinder is 1.5 inches.

So that;

volume of cone =   x x x 6

                          =   x x x 6

                          = 14.143

volume of cone = 14.143 cube inches

The approximate volume of the cone is 14 cube inches.