Tuesday

January 27, 2015

January 27, 2015

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

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 6:56amThe 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 9:54amkhalid

**Answer this Question**

**Related Questions**

Calculus I don't understand - Find the volume of the solid obtained by rotating ...

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 [rotation of region bounded by curves] - Find the volume of the solid ...

calculus edit - 1. Find the volume formed by rotating the region enclosed by x=...

Calculus - Consider the region bounded by the curves y=e^x, y=-e^x, and x=1. Use...

calculus - Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find ...

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 ...