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
5
5 inches and the height of the cone is
21
21 inches. Use 3.14 for π.
To find the total volume of the shape, we need to find the individual volumes of the cylinder and the cone, and then add them together.
Volume of cylinder:
V_cylinder = πr^2h
V_cylinder = 3.14 * 5^2 * 9
V_cylinder = 3.14 * 25 * 9
V_cylinder = 706.5 cubic inches
Volume of cone:
V_cone = (1/3)πr^2h
V_cone = (1/3) * 3.14 * 5^2 * 21
V_cone = (1/3) * 3.14 * 25 * 21
V_cone = 548.25 cubic inches
Total volume:
Total_volume = V_cylinder + V_cone
Total_volume = 706.5 + 548.25
Total_volume = 1254.75 cubic inches
Therefore, the total volume of the shape is 1254.75 cubic inches.
wrong
Apologies for the mistake. Let's calculate the correct total volume of the shape.
The total volume can be found by adding the volume of the cylinder and the volume of the cone.
Volume of the cylinder:
V_cylinder = πr^2h
V_cylinder = 3.14 * 5^2 * 9
V_cylinder = 3.14 * 25 * 9
V_cylinder = 706.5 cubic inches
Volume of the cone:
V_cone = (1/3) * π * r^2 * h
V_cone = (1/3) * 3.14 * 5^2 * 21
V_cone = (1/3) * 3.14 * 25 * 21
V_cone = 1645.25 cubic inches
Total volume:
Total_volume = V_cylinder + V_cone
Total_volume = 706.5 + 1645.25
Total_volume = 2351.75 cubic inches
Therefore, the correct total volume of the shape is 2351.75 cubic inches.