Pappus Theorems: using them to prove volume formulas

G

Guest

Guest
I'm having a really hard time trying to figure out Pappus' Theorems to verify volume formulas. I don't know if posting specific problems would help me. Are there any sites that have good examples of his theorems or something that could help me better understand them? Thank you.

Here's an example of the problems I'm struggling with:

Apply the Second Theorem of Pappus to verify that the curved surface area of a right circular cylinder with height h and base radius r is 2(pi)rh.

I don't even know how to start it! I know how to find x and y moments, but I don't know how to start problems like this.
 
okay... so i have to find that the x moment is r. I know how to find x moments for other problems... like when we're given y=x^2, y=x^3 etc. But Im not sure how to apply it to this problem, or any of these formula type problems for that matter. So I think if i can figure out how to set it up, I might be okay...
 
Top