Question

x^2 - y^2 = 7, x =4 <-- region is bounded by these two curves. Rotate this region about the y = 5 and find the volume.

Answer 1

Using shell method

Answer 2

MY ATTEMPT:
r = (4 - y)
h = (3 - \sqrt{y^2 + 7})

Answer 3

you love these volume problems eh?

Answer 4

I know this is hyperbola

Answer 5

With the x-int's being (+/- root{7},0)