Posted by **Mark** on Sunday, July 7, 2013 at 3:47pm.

Let R be the region bounded by y=−3(x−1)(x−3) and the x-axis. Let S be the solid obtained by rotating R about the y-axis. The volume of S is given by Nπ. What is the value of N?

- Calculus -
**Steve**, Sunday, July 7, 2013 at 3:59pm
v = ∫[1,3] 2πrh dx

where r = x and h = y = −3(x−1)(x−3) so

v = ∫[1,3] 2πx(−3(x−1)(x−3)) dx

= -6π ∫[1,3] x^3 - 4x^2 + 3x dx

= 16π

## Answer this Question

## Related Questions

- calculus - Find the volume of the solid obtained by rotating the region bounded ...
- calculus - he volume of the solid obtained by rotating the region bounded by x=(...
- Ap calc - Use the method of cylindrical shells to find the volume V of the solid...
- Calculus - solid is formed by rotating the region bounded by the curve y=e−...
- Calculus - solid is formed by rotating the region bounded by the curve y=e&#...
- Calculus - A solid is formed by rotating the region bounded by the curve y=e&#...
- calculus help - Find the volume V of the solid obtained by rotating the region ...
- Math - Find the volume V of the solid obtained by rotating the region bounded by...
- Math - The region bounded by the given curves is rotated about the specified ...
- Calculus I don't understand - Find the volume of the solid obtained by rotating ...

More Related Questions