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monroe17
Group Title
Find the volume formed by rotating the region enclosed by:
y=2sqrt(x) and y=x about the line y=4
 one year ago
 one year ago
monroe17 Group Title
Find the volume formed by rotating the region enclosed by: y=2sqrt(x) and y=x about the line y=4
 one year ago
 one year ago

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