Question

Find the volume of solid formed by y=x^2 +1, x=0, x=2, rotated about x=2...

i got 12pi cu. u.... but i am not really sure if my answer is correct...

Answer 1

How did you get that? What was your integral?

Answer 2

\[2\pi \int\limits_{0}^{2} x(x^2 +1) dx\]

Answer 3

Looks to me like you are rotating about y = 0. What happened to x = 2?

Answer 4

Radius should be (2-x)
Height should be (y-1)

Answer 5

Is this the region?
If yes, use @tkhunny's dimensions.