Question

The volume of the solid obtained by rotating the region enclosed by: y=12x-4x^2 and y=0
about the y-axis can be computed using the method of cylindrical shells via an integral V=?

Answer 1

shells span out from the axis of rotation

Answer 2

y=0 is the xaxis

Answer 3

ok so i am getting the formula as V= 2pi(4x^3-x^4)dx from 0 to 3

Answer 4

as long as 3 is the zero for it, then yes :)

Answer 5

what do you mean?

Answer 6

.... which part? youll have to be more specific

Answer 7

you said the 3 needs to be the 0 for it

Answer 8

12x-4x^2 = 0, when x = 3

Answer 9

\[2\pi\int_{0}^{3}12x-4x^2\ dx\]

Answer 10

take the antiderivative from there?