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 hundredt
The volume of a cylinder is given by the formula Vcylinder = π * r^2 * h, where r is the radius and h is the height of the cylinder. Plugging in the values, we get:
Vcylinder = 3.14 * 6^2 * 5
Vcylinder = 3.14 * 36 * 5
Vcylinder = 565.2 cubic inches
The volume of a cone is given by the formula Vcone = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone. Plugging in the values, we get:
Vcone = (1/3) * 3.14 * 6^2 * 6
Vcone = (1/3) * 3.14 * 36 * 6
Vcone = 226.08 cubic inches
Adding the volume of the cylinder and the cone, we get the total volume:
Total volume = Vcylinder + Vcone
Total volume = 565.2 + 226.08
Total volume = 791.28 cubic inches
Thus, the total volume of the shape is approximately 791.28 cubic inches.