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.
To calculate the total volume of the shape, we first need to find the volumes of the cylinder and the cone, and then add them together.
Volume of 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 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.