What is the total volume of the shape below if the height of the cylinder is
9
9 inches, the radius of the cylinder is
9
9 inches and the height of the cone is
15
15 inches. Use 3.14 for π.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. The volume of a cone is given by the formula V = (1/3)πr^2h.
For the cylinder:
V_cylinder = π*(9)^2*9 = 2544π cubic inches
For the cone:
V_cone = (1/3)*π*(9)^2*15 = 405π cubic inches
Total volume = V_cylinder + V_cone = 2544π + 405π = 2949π cubic inches
Using π = 3.14, the total volume is:
2949*3.14 ≈ 9250.86 cubic inches
Therefore, the total volume of the shape is approximately 9250.86 cubic inches.