Posted by **john** on Sunday, January 31, 2010 at 5:40pm.

Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the x-axis. (Washer Volume)

- Calculus -
**Damon**, Sunday, January 31, 2010 at 6:13pm
integral from y = 0 to y = 16 (origin to x = 2)

find volume of outer cylinder of radius 16

Vol - pi r^2 h = pi (16^2) (2)

find volume generated by inner curve between x axis and y = 4 x^2

Vinner = pi y^2 dx from 0 to 2

= pi 16 * integral x^4 dx

= 16 pi (32/5)

then subtract the inner from the outer

2 pi (16^2) - 16 pi (32/5)

= 32 pi *16 - 32 pi *16/5

= 32 pi (4/5) (16)

- Calculus -
**Damon**, Sunday, January 31, 2010 at 6:30pm
Oh, double that to include the left side.

## Answer this Question

## Related Questions

- Calculus - This problem set is ridiculously hard. I know how to find the volume ...
- Can no one help?! - 1. Use cylindrical shells to compute the volume of the solid...
- Calculus - 1. Use cylindrical shells to compute the volume of the solid formed ...
- calculus - Find the volume of the solid formed by revolving the region bounded ...
- calculus - find the volume of the solid generated by revolving the region ...
- calculus - Find the volume of the solid generated by revolving the region ...
- Calculus - Find the volume of the solid formed by revolving the region bounded ...
- Calculus Voulme - find the volume of the solid generated by revolving the region...
- Calculus - We're learning disks, shells, and cylinders in school but we have a ...
- Calculus - We're learning disks, shells, and cylinders in school but we have a ...