# 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
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

## 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