A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 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.

So the cylinder's volume is = 150.72. The formula for a cylinder's volume is V=πr^2*h. So the filled out formula is V=3.14 (4^2) * 3. This equals 150.8.

The cone's volume is = 133.97. The formula is f = πr^2 * (h/3) Filled out this is f = 3.14 (4^2) * (8/3).

So the volume of the cylinder is greater than that of the cone. 150.72>133.97.