Question

find the volume generated by rotating the region bounded by \(y = x^2 +1\), y = 5 and x = 0 about y = -1

Answer 1

i got \[\frac{112\pi}{15}\]

Answer 2

is that right @dpaInc ?

Answer 3

i got 704pi/15...

Answer 4

you used dx right?

Answer 5

yep..

Answer 6

washer...

Answer 7

outer radius is 6
inner radius is x^2 + 1 + 1 = x^2 +2

Answer 8

washer? o.O

Answer 9

isnt it cylindrical shell??

Answer 10

if you're going dx, then your doing washer.
if you're going dy, then you can use shell.
remember the axis of rotation is y=-1 (horizontal)

Answer 11

according to my teacher