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Consider the solid obtained by rotating the region bounded by the given curves about the line x = 5. y = x , y = x Find the volume V of this solid. Rotating a horizontal strip between y = x and y = x around x = 5 creates a g

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mavila18

Answer:

V=130.89

Explanation:

Here we have that the volume can be calculated by using the

[tex]dV=2\pi (y(x))(5-x)dx\\V=\int \limit_0^5 2\pi (x)(5-x)dx=\\V=2\pi \int \limit_0^5 (5x-x^2)=2\pi (\frac{5(5)^2}{2}-\frac{(5)^3}{3})=130.89[/tex]

hope this helps!!

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