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

Answer 1

V=130.89

Step-by-step 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 ((5(5)^2)/(2)-((5)^3)/(3))=130.89`

hope this helps!!