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

Question

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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Thành Đạt 5 years 2021-08-09T10:28:41+00:00 1 Answers 39 views 0

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  1. giabao
    0
    2021-08-09T10:30:00+00:00
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    Answer:

    V=130.89

    Explanation:

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

    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

    hope this helps!!

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