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

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

amistre64 · Answer

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amistre64 · Answer

id shell it

anonymous · Answer

What integral do I take for using discs though?

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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