Posted by **hadia** on Monday, September 5, 2011 at 6:08pm.

find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4x-x^2 and y=2 about the line y=2.

- calculus 2 -
**Mgraph**, Monday, September 5, 2011 at 6:59pm
y-2=4x-x^2

The volume=pi*Int.[0,4](4x-x^2)^2dx=

pi*Int.[0,4](16x^2-8x^3+x^4)dx=

pi*(16/3x^3-2x^4+1/5x^5)[0,4]=

pi*(1024/3-512+1024/5)=pi*1024/30

## Answer This Question

## Related Questions

- calculus - Find the volume of the solid formed by revolving the region bounded ...
- Calculus - Find the volume or the solid generated by revolving around the region...
- calculus - Find the volume of the solid generated by revolving the region ...
- calculus - Let A be the bounded region enclosed by the graphs of f(x) = x , g(x...
- Calculus - "Find the volume of the solid generated by revolving the region ...
- calculus - Use the disk or the shell method to find the volume of the solid ...
- Calculus I - Which of the following represents the volume of the solid formed by...
- Math (Calculus) - Use the disc method to find the volume of the solid generated ...
- calculus - Use the disk or the shell method to find the volume of the solid ...
- Calculus - Find the volume of the solid formed by revolving the region bounded ...

More Related Questions