Posted by **MAM** on Tuesday, January 24, 2012 at 9:43pm.

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis.

y = 6x

y = 18

x = 0

- calculus -
**Steve**, Wednesday, January 25, 2012 at 12:57pm
V = Int(2pi*r*h dx)[0,3]

where

r = x

h = 18-y

V = 2pi*Int(x*(18-6x) dx)[0,3]

= 2pi * Int(18x - 6x^2 dx)[0,3]

= 2pi*(9x^2 - 2x^3)[0,3]

= 2pi*(27-18)

= 18pi

## Answer This Question

## Related Questions

- Math (Calculus) - Use the shell method to set up and evaluate the integral that ...
- calculus - Use the shell method to set up and evaluate the integral that gives ...
- Calculus - Use the shell method to set up, but do not evaluate, an integral ...
- calculus - Use the shell method to find the volume of the solid generated by ...
- Integral calculus - Use the cylindrical shell method to find the volume of the ...
- Calculus - I would like to know if my answers are correct: Disclaimer: We are ...
- calculus - Use the disk or the shell method to find the volume of the solid ...
- Math (Calculus) - Use the shell method to find the volume of the solid generated...
- Calculus - Volume by Integration - Find the volume of the solid generated by ...
- Calculus - Volume By Integration - Find the volume of the solid generated by ...

More Related Questions