what is the total volume of the shape below if the height of the cylinder is 5 inches, the radius of the cylinder is 6 inches and the height of the cone is 6 inches? Use 3.14 for pi. Round to the nearest hundredth. Click HERE for Help video.
To find the total volume of the shape, we need to find the volume of the cylinder and the volume of the cone separately, and then add them together.
Volume of the cylinder:
V_cylinder = πr^2h
V_cylinder = 3.14 * 6^2 * 5
V_cylinder = 3.14 * 36 * 5
V_cylinder = 565.2 cubic inches
Volume of the cone:
V_cone = (1/3)πr^2h
V_cone = (1/3) * 3.14 * 6^2 * 6
V_cone = (1/3) * 3.14 * 36 * 6
V_cone = 226.08 cubic inches
Total volume:
Total volume = V_cylinder + V_cone
Total volume = 565.2 + 226.08
Total volume = 791.28 cubic inches
Therefore, the total volume of the shape is 791.28 cubic inches.