cone with a diameter of 20 inches and a height of 13 inches, find the volume of the container to the nearest cubic unit

The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.

Given that the diameter of the cone is 20 inches, the radius (r) is half the diameter, so r = 10 inches.

Now we plug in the values into the formula:

V = (1/3)π*(10)^2*13
V = (1/3)π*100*13
V = (1/3)*314*13
V = 4183.3 cubic inches

Therefore, the volume of the cone is approximately 4183 cubic inches to the nearest cubic unit.