- #1
SheldonG
- 50
- 0
Homework Statement
Find the volume of [itex] y = 2x^2 [/itex] y = 0, x = 2 when it is revolved around the line y = 8.
Homework Equations
Integral formulas for volumes by discs, washers and cylinders.
The Attempt at a Solution
Translate the curve so that axis of revolution is along the X axis. Is this the right idea? This gives [itex] y = 2x^2 - 8 [/itex] . I would integrate this and subtract from the volume of the cylinder with radius 8 and height 2:
[tex] \pi(8^2)(2) - \int_0^2 \pi(2x^2 - 8)^2\,dx [/tex]
Is this the right approach?
Thanks,
Sheldon
Last edited: