A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.

Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

Question

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.

Use π = 3.14. 

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

anonymous · Answer

Well remember, to find the volume of a cylinder and a cone, you must find the area of the circle first. 

Formula for Cylinder-Radius^2(3.14)(Height)

Formula for Cone-(Radius^2(3.14)(Height))(1/3)

Once you find the volume of both you can find the relationship.