Posted by **Tina** on Tuesday, March 8, 2011 at 1:28am.

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.

y = 9 - 9x^2 , y = 0

Find the volume V of this solid.

Sketch the region, the solid, and a typical disk or washer.

Any help or tips would be greatly appreciated; not sure how to work it :/

- calculus -
**Reiny**, Tuesday, March 8, 2011 at 6:56am
The curve intersects the x-axis at (1,0) and (-1,0).

Volume = π[integral] y^2 dx from -1 to 1

or by symmetry

= 2π[integral] (9-9x^2)^2 dx from 0 to 1

= 2π[integral] (81 - 162x^2 + 81x^4) dx from 0 to 1

= 2π(81x - 54x^3 + (81/5)x^5) from 0 to 1

= 2π(81 - 54 + 81/5 - 0)

= 432π/5

- calculus -
**khalid**, Saturday, October 25, 2014 at 9:54am
khalid

## Answer This Question

## Related Questions

- calculus - Consider the solid obtained by rotating the region bounded by the ...
- Calculus II - Consider the solid obtained by rotating the region bounded by the ...
- calculus - Consider the solid obtained by rotating the region bounded by the ...
- calculus - Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find ...
- Calculus I don't understand - Find the volume of the solid obtained by rotating ...
- CALCULUS 2 - Consider the solid obtained by rotating the region bounded by the ...
- calculus - Consider the solid obtained by rotating the region bounded by the ...
- calculus - use the method of cylindrical shells to find the volume of the solid ...
- calculus - Consider the solid obtained by rotating the region bounded by the ...
- Calculus Help Please Urgent!!! - Find the volume V of the solid obtained by ...

More Related Questions