calculus

Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by the curves y= tanx and y=2cosx between the bounds 0 and pi/2 around y=-1

would it be

A= pi * ∫ 0 to 0.78 {(2cosx+1)^2 - (tanx+1)^2}

  1. 👍 0
  2. 👎 0
  3. 👁 46
asked by tom
  1. yes, if you include dx
    The volume consists of washers of thickness dx and area pi(R^2-r^2) as you indicated above

    1. 👍 0
    2. 👎 0
    posted by oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by the curves y= tanx and y=2cosx between the bounds 0 and pi/2. I need the setup.

    asked by tom on March 4, 2019
  2. calculus

    Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the

    asked by Megan on June 9, 2011
  3. Calculus

    a) Find the volume formed by rotating the region enclosed by x = 6y and y^3 = x with y greater than, equal to 0 about the y-axis. b) Find the volume of the solid obtained by rotating the region bounded by y = 4x^2, x = 1, and y =

    asked by Beth on November 3, 2011
  4. Calculus

    This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume

    asked by Jillian on April 5, 2008
  5. calculus

    Let A be the bounded region enclosed by the graphs of f(x) = x , g(x) = x3 . Find the volume of the solid obtained by rotating the region A about the line x + 2 = 0.

    asked by me on October 31, 2010
  6. calculus edit

    1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y is greater than or equal to 0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about

    asked by jimmy on May 4, 2007
  7. Calculus

    Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y = x^3 y = 16 x about the x-axis.

    asked by Corey on September 11, 2017
  8. Calculus

    1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis

    asked by jimmy on May 4, 2007
  9. Calculus

    Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

    asked by John on November 1, 2012
  10. Calculus

    Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0

    asked by John on November 1, 2012

More Similar Questions