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.

Respuesta :

Finding the Volume of the Cylinder and Cone

Cylinder

Cylinder volume is equal to  π r^2h

Insert values into equation and solve.

(Diameter divided by 2 is the value of the radius.)

π(4)^2(9)

π(16)(9)

π144

The volume of the cylinder is 452.16 inches.

Cone

Cone volume is equal to 1/3 πr^2h

1/3 π(4)^2(18)

96 π

The volume of the cone is 301.44 inches.

Finding The Relationship

The volume of the cone is 301.44 inches.

The volume of the cylinder is 452.16 inches.

301.44 * 1 = 301.44

301.44 * 1.5 = 452.16

The volume of the cylinder is 1.5 times more than the volume of the cone.