Acylinder 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.

The cylinder:

We have to find the radius first. r=8/2 = 4

The equation is: V= π r^2 h

V= (3.14) (4)^2 (9)

V= 452.16

Cylinder: 452.16 in.

The cone:

We have to find the radius again: r=8/2 = 4

The equation: V= 1/3 π r^2 h

V= 1/3 (3.14) (4)^2 (18)

V= 1/3 (904.32)

V= 904.32/3 = 301.44

V= 301.44

Cone: 301.44 in.

Volume of the cylinder is 1.5 times of the volume of the cone because 301.44 x 1.5 = 452.16

Volume of cone x 1.5 = volume of cylinder.