What is the total volume of the shape below if the height of the cylinder is 5 inches the radius is 6 inches and the height of the cone is 6 inches?
To find the total volume of the shape, we need to find the volume of the cylinder and the volume of the cone separately, and then add them together.
Volume of cylinder = πr^2h
Given that the radius (r) is 6 inches and the height (h) is 5 inches:
Volume of cylinder = π(6)^2(5) = 180π cubic inches
Volume of cone = (1/3)πr^2h
Given that the radius (r) is 6 inches and the height (h) is 6 inches:
Volume of cone = (1/3)π(6)^2(6) = 72π cubic inches
Total volume = Volume of cylinder + Volume of cone
Total volume = 180π + 72π = 252π cubic inches
Therefore, the total volume of the shape is 252π cubic inches.