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 one year ago
Find the volume formed by rotating the region enclosed by:
y=2sqrt(x) and y=x about the line y=4
 one year ago
Find the volume formed by rotating the region enclosed by: y=2sqrt(x) and y=x about the line y=4

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SithsAndGiggles
 one year ago
Best ResponseYou've already chosen the best response.2The black length represents the outer radius, and the blue one represents the inner radius. Using the disk method, the volume is \[\begin{align*}V&=\pi\int_0^4\left((4x)^2(42\sqrt x)^2\right)\;dx\\ &=\pi\int_0^4\left((168x+x^2)(168\sqrt x+4x)\right)\;dx\\ &=\pi\int_0^4\left(x^212x+8\sqrt x\right)\;dx\\ \vdots \end{align*}\]
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