SOLUTION: A cylindrical pipe has length L, inner radius I, and overall radius R. What is the volume of the pipe material?

Algebra ->  Volume -> SOLUTION: A cylindrical pipe has length L, inner radius I, and overall radius R. What is the volume of the pipe material?      Log On


   

Question 765475: A cylindrical pipe has length L, inner radius I, and overall radius R. What is the volume of the pipe material?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Volume of Outer Cylinder

V = pi*r^2*h

V = pi*R^2*L


Volume of Inner Cylinder

V = pi*r^2*h

V = pi*I^2*L


Difference:

pi*R^2*L - pi*I^2*L

pi*L(R^2 - I^2)

So the volume of the pipe material (ignore the empty space) is pi*L(R^2 - I^2)