Question

Find the volume of the solid generated by revolving the region bound by the graphs of the equations around the line x=5.
y=5-x, y=0, y=4, x=0

Answer 1

id shell it

Answer 2

What integral do I take for using discs though?

Answer 3

disc is just using circles instead of cylindars;\[\int pi f(x)^2dx\]

Answer 4

but it might be best to set it up better, our radius is in the form
\(f^{-1}(x)\) and there is an inner and outer radius to account for

Answer 5

y=5-x

x=5-y

x-5=-y

x+5=y would be our radius function: or y+5=x might be a better notation

Answer 6

the outer radius is just "5" the inner radius is what we have to remove, right?