How do you find the volume of a solid of revolution washer method?

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How do you find the volume of a solid of revolution washer method?

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Answer 1 · 2014-08-30T06:30:02

Suppose that $f (x) \geq g (x)$ $f(x)geq g(x)$ for all $x$ $x$ in $[a, b]$ $[a,b]$ . If the region between the graphs of $f$ $f$ and $g$ $g$ from $x = a$ $x=a$ to $x = b$ $x=b$ is revolved about the $x$ $x$ -axis, then the volume of the resulting solid can be found by
$V = π \int_{a}^{b} {{[f (x)]}^{2} - {[g (x)]}^{2}} d x$ $V=pi int_a^b{[f(x)]^2-[g(x)]^2}dx$

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How do you find the volume of a solid of revolution washer method?

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