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.
First, let's find the radius of the cylinder:
Radius = diameter / 2
Radius = 60 inches / 2
Radius = 30 inches
Next, let's find the volume of the cylinder:
Volume_cylinder = π * radius^2 * height
Volume_cylinder = 3.14 * 30^2 * 13
Volume_cylinder = 3.14 * 900 * 13
Volume_cylinder = 35388 cubic inches
Now, let's find the volume of the cone:
Radius_cone = radius_cylinder = 30 inches
Height_cone = height_cylinder = 13 inches
Volume_cone = (1/3) * π * radius^2 * height
Volume_cone = (1/3) * 3.14 * 30^2 * 13
Volume_cone = (1/3) * 3.14 * 900 * 13
Volume_cone = 12222 cubic inches
Now, to find the volume of the space between the cylinder and the cone, we subtract the volume of the cone from the volume of the cylinder:
Volume_space = Volume_cylinder - Volume_cone
Volume_space = 35388 - 12222
Volume_space = 23166 cubic inches
Therefore, the volume of the space between the cylinder and the cone is 23166 cubic inches.