Results 1 to 2 of 2

Thread: volume

  1. #1
    Junior Member
    Jul 2008


    How to find the solid generated by revolving a loop of the curve $\displaystyle r^2=a^2sin2 \theta$ about the initial line.

    Here I used the fact that the volume

    $\displaystyle V=\frac{2}{3}\int(f(\theta))^3sin\theta d\theta.$

    But I couldn't get the answer. The answer should be $\displaystyle \frac{{\pi}^2 a^3}{8}$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Jul 2006
    Chaneysville, PA
    Did you try the Theorem of Pappus?. That may be a good choice here.

    Find the area of the region multiplied by the distance traveled by the centroid, then multiply by 2Pi
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Nov 18th 2011, 01:08 PM
  2. volume flux, mass flux and volume flo
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: Jun 7th 2011, 06:30 PM
  3. Replies: 1
    Last Post: May 14th 2010, 04:08 PM
  4. divergence = flux / volume is independant of the limiting volume
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: Apr 26th 2010, 07:31 PM
  5. volume
    Posted in the Geometry Forum
    Replies: 3
    Last Post: Jun 10th 2008, 11:15 AM

Search Tags

/mathhelpforum @mathhelpforum