Find the volume of the space between the cylinder and the cone. Note the cone is touching the top of the cylinder.
The height of the cylinder is 13 inches and the diameter is 60 inches. Use 3.14 for pi.
The volume of the space between the cylinder and the cone is ? Cubic inches.
First, we need to calculate the volume of the cylinder and the volume of the cone separately.
Volume of the cylinder:
radius = diameter/2 = 60/2 = 30 inches
height = 13 inches
V_cylinder = π(30^2)(13) = 11700π ≈ 36691.68 cubic inches
Volume of the cone:
radius = 30 inches
height = 13 inches
V_cone = (1/3)π(30^2)(13) = 3900π ≈ 12252.72 cubic inches
Now, the volume of the space between the cylinder and the cone can be calculated by subtracting the volume of the cone from the volume of the cylinder:
V_space = V_cylinder - V_cone = 11700π - 3900π = 7800π ≈ 24438.96 cubic inches
Therefore, the volume of the space between the cylinder and the cone is approximately 24438.96 cubic inches.