Question

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.

Answer 1

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.