Question: Use the method of cylindrical shells to find the volumeVgenerated by rotating the region bounded by the given curves about the specified axis y=7(sqrt(x)) ,

Use the method of cylindrical shells to find the volumeVgenerated by rotating the region bounded by the given curves about the specified axis

y=7(sqrt(x)) , y=0, x=1; about x=-2

Using the formula:

V=integral [a,b] of 2(pi)x(f(x))dx where x is the radius and f(x) is the height.

For this specific problem I took integral [0,1] and I used f(x)=7x^(1/2).. i dont know what the radius should be. I tried 2-x, -2-x, 2+x and have gotten none of the right answer. The answer should be 364pi/15. Please explain where I have gone wrong!!!

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