First, we need to calculate the volume of the cylinder and the cone separately, then add them together to get the total volume.
Volume of a cylinder:
V_cylinder = π * r^2 * h
V_cylinder = 3.14 * 6^2 * 5
V_cylinder = 3.14 * 36 * 5
V_cylinder = 3.14 * 180
V_cylinder = 565.2 cubic inches
Volume of a cone:
V_cone = (1/3) * π * r^2 * h
V_cone = (1/3) * 3.14 * 6^2 * 6
V_cone = (1/3) * 3.14 * 36 * 6
V_cone = (1/3) * 3.14 * 216
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.
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 the height of the cone is 6 inches? Use 3.14 for pi.
The total volume is ? Cubic inches.
1 answer