Question

What is the total volume of the shape if the height of the cylinder is 5 inches, the radius of the cylinder is 6 inches, and the height of the cone is 6 inches? (The cone is on top of the cylinder) use 3.14 for pi

Answer 1

Wrong

Answer 2

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. The volume of a cone is given by the formula V = 1/3πr^2h.

For the cylinder:
V_cylinder = π(6^2)(5) = π(36)(5) = 180π cubic inches

For the cone:
V_cone = 1/3π(6^2)(6) = 1/3π(36)(6) = 72π cubic inches

Total volume = V_cylinder + V_cone = 180π + 72π = 252π cubic inches

Therefore, the total volume of the shape is 252π cubic inches.

Answer 3

I apologize for the error. Let's calculate the correct total volume.

The volume of the cylinder can be calculated using the formula V_cylinder = πr^2h, where r = 6 inches and h = 5 inches:
V_cylinder = π(6^2)(5) = π(36)(5) = 180π cubic inches

The volume of the cone can be calculated using the formula V_cone = 1/3πr^2h, where r = 6 inches and h = 6 inches:
V_cone = 1/3π(6^2)(6) = 1/3π(36)(6) = 72π cubic inches

The total volume when the cone is placed on top of the cylinder is:
Total Volume = V_cylinder + V_cone = 180π + 72π = 252π cubic inches

Therefore, the correct total volume of the shape is 252π cubic inches.