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, we need to find the radius of the cylinder. Since the diameter is 60 inches, the radius is half of that, which is 30 inches.
The volume of a cylinder is given by the formula V_cylinder = πr^2h, where r is the radius and h is the height.
Substitute the values into the formula:
V_cylinder = 3.14 * 30^2 * 13
V_cylinder = 3.14 * 900 * 13
V_cylinder = 35442 cubic inches
Next, we need to find the volume of the cone. Since the cone is touching the top of the cylinder, the height of the cone is the same as the height of the cylinder, which is 13 inches.
The volume of a cone is given by the formula V_cone = 1/3 * πr^2h, where r is the radius and h is the height.
Substitute the values into the formula:
V_cone = 1/3 * 3.14 * 30^2 * 13
V_cone = 1/3 * 3.14 * 900 * 13
V_cone = 12012 cubic inches
Now, find the volume of the space between the cylinder and the cone by subtracting the volume of the cone from the volume of the cylinder:
Volume = V_cylinder - V_cone
Volume = 35442 - 12012
Volume = 23430 cubic inches
Therefore, the volume of the space between the cylinder and the cone is 23430 cubic inches.