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.

10 Points

Answer 1

Volume of a cylinder

v=πr²h=π429=144π
the volume of a cone

V=πr²h13=π4²18 1/3=16π6=96π

relationship from the cylinder to the cone is 2/3