Find the volume of the space between the cylinder and the cone. Note the cone is touching the top of the cylinder. The height of the cylinder is 13 inches and the diameter is 60 inches. Use 3.14 for pi.
First, we need to find the volume of the cylinder and the cone separately, and then subtract the volume of the cone from the volume of the cylinder to find the volume of the space between them.
Volume of the cylinder:
Radius of the cylinder = 60/2 = 30 inches
Volume = πr^2h
Volume = 3.14 * 30^2 * 13
Volume = 3.14 * 900 * 13
Volume = 35340 cubic inches
Volume of the cone:
Radius of the cone = 30 inches
Height of the cone = 13 inches
Volume = (1/3)πr^2h
Volume = (1/3) * 3.14 * 30^2 * 13
Volume = (1/3) * 3.14 * 900 * 13
Volume = 4098 cubic inches
Volume of the space between the cylinder and the cone:
35340 - 4098 = 31242 cubic inches
Therefore, the volume of the space between the cylinder and the cone is 31242 cubic inches.