What is the total volume of the shape below if the height of the cylinder is
6
6 inches, the radius of the cylinder is
8
8 inches and the height of the cone is
6
6 inches. Use 3.14 for π.
First, we need to calculate the volume of the cylinder and the volume of the cone separately, and then add them together to find the total volume.
Volume of the cylinder:
V_cylinder = π * r^2 * h
V_cylinder = 3.14 * 8^2 * 6
V_cylinder = 3.14 * 64 * 6
V_cylinder = 3.14 * 384
V_cylinder = 1204.16 cubic inches
Volume of the cone:
V_cone = (1/3) * π * r^2 * h
V_cone = (1/3) * 3.14 * 8^2 * 6
V_cone = (1/3) * 3.14 * 64 * 6
V_cone = (1/3) * 3.14 * 384
V_cone = 402.54 cubic inches
Total volume:
Total volume = V_cylinder + V_cone
Total volume = 1204.16 + 402.54
Total volume = 1606.7 cubic inches
Therefore, the total volume of the shape is 1606.7 cubic inches.