What is the total volume of the shape below of 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
First, we calculate the volume of the cylinder using the formula:
Volume of cylinder = π * radius^2 * height
Volume of cylinder = 3.14 * 6^2 * 5
Volume of cylinder = 3.14 * 36 * 5
Volume of cylinder = 3.14 * 180
Volume of cylinder = 565.2 cubic inches
Next, we calculate the volume of the cone using the formula:
Volume of cone = 1/3 * π * radius^2 * height
Volume of cone = 1/3 * 3.14 * 6^2 * 6
Volume of cone = 1/3 * 3.14 * 36 * 6
Volume of cone = 1/3 * 3.14 * 216
Volume of cone = 226.08 cubic inches
Finally, we add the volume of the cylinder and the volume of the cone to find the total volume of the shape:
Total volume = Volume of cylinder + Volume of 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.