Posted by **Jose** on Friday, February 10, 2012 at 10:08pm.

Find the volume of the solid generated by revolving the region bounded by y= 5 cosh (x) and y= 5 sinh (x) between x = 0 and x = 1 about the x-axis

- Math -
**Steve**, Saturday, February 11, 2012 at 5:15am
v = Int(pi*(R^2-r^2) dx) [0,1]

where

R = 5cosh(x)

r = 5sinh(x)

v = 5pi*Int(cosh(x) - sinh(x) dx) [0,1]

= 5pi*(sinh(x)-cosh(x))[0,1]

=5pi*[(sinh(1)-cosh(1))-(sinh(0)-cosh(0))

= 5pi*(-1/e + 1)

= 5pi(e-1)/e

## Answer this Question

## Related Questions

- poly - the volume of the solid generated by revolving infinite region bounded by...
- math - Find the volume of the solid generated by revolving the region bounded by...
- Calculus - 5. Find the volume of the solid generated by revolving the region ...
- MATH - Find the volumes of the solids generated by revolving the region in the ...
- Volume of a solid - calculus - Find the volume of the solid generated by ...
- math - 1) A region is bounded by the line y = x and the parabola y = x2 - 6x + ...
- math - 1) A region is bounded by the line y = x and the parabola y = x2 - 6x + ...
- Math - Find the volume of the solid generated by revolving the following region ...
- Volume - Find the volume of the solid generated by revolving the region bounded...
- calculus - Find the volume of the solid generated by revolving the region ...