What is the volume of the shape of the height of the cylinder is 9 inches, the radius of the cylinder is 7 inches and the height of the cone is 12 inches. Use 3.14 for pi
First, let's calculate the volume of the cylinder.
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
Given:
r = 7 inches
h = 9 inches
V_cylinder = π(7^2)(9)
V_cylinder = π(49)(9)
V_cylinder = π(441)
V_cylinder ≈ 1385.94 cubic inches
Next, let's calculate the volume of the cone.
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given:
r = 7 inches
h = 12 inches
V_cone = (1/3)π(7^2)(12)
V_cone = (1/3)π(49)(12)
V_cone = (1/3)π(588)
V_cone ≈ 618.03 cubic inches
Finally, let's add the volumes of the cylinder and cone to get the total volume:
Total Volume = V_cylinder + V_cone
Total Volume ≈ 1385.94 + 618.03
Total Volume ≈ 2003.97 cubic inches
Therefore, the total volume of the shape is approximately 2003.97 cubic inches.