SOLUTION: A roller is made by taking a cylinder of radius 3 inches and height 8 inches and removing a cylinder with radius 2 inches and the same height. The roller is shown on its side in t

Algebra ->  Surface-area -> SOLUTION: A roller is made by taking a cylinder of radius 3 inches and height 8 inches and removing a cylinder with radius 2 inches and the same height. The roller is shown on its side in t      Log On


   

Question 1027129: A roller is made by taking a cylinder of radius 3 inches and height 8 inches and removing a
cylinder with radius 2 inches and the same height. The roller is shown on its side in the
figure. What is the volume of the roller?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cylinder of radius r and height h is
V%5Bcyl%5D=pi%2Ar%5E2%2Ah .

The volume of the cylinder of radius 3inches and height 8inches is
pi%2A3%5E2%2A8in%5E3=72piin%5E3 .

The volume of the removed cylinder of radius 2inches and height 8inches is
pi%2A2%5E2%2A8in%5E3=32piin%5E3 .

The volume of the roller is
72in%5E3-32in%5E3=highlight%2840in%5E3%29