Question

calcII
y=6-x, y=0, x=4, x=2 around the y-axis
ans 104pi/3
drawing below

Answer 1

here's what i have so far, int2,4(6-x)^2pidx

Answer 2

what are you trying to find here?

Answer 3

Looks like volume of solid after revolving about y-axis?

Answer 4

yes, pretty much

Answer 5

If that's the case, your integral doesn't look right. The way you've set it up would be the volume of the solid if you were to revolve it about the x-axis.

Answer 6

ya, that's probably one thing i got wrong.

Answer 7

volume of outer cylinder-type - volume of inner cylinder-type

Answer 8

V1 - V2
for each one use disc or shell method. they are linear boundaries so, should be nice enough

Answer 9

Yep, but with the disk method you'll have to use two integrals. I'd stick with shells for this one.

Answer 10

Using shell method,\[V=2\pi\int_2^4x\cdot(6-x)\;dx\]