Hi

the question is

Use polar coordinates to find the volume of the solid which is under the paraboloid and above the disk in the plane .

thanks(Wink)

- Jan 26th 2010, 08:11 AMrpatelQuestion to do with volume of a solid between a paraboloid and a plane
Hi

the question is

Use polar coordinates to find the volume of the solid which is under the paraboloid and above the disk in the plane .

thanks(Wink) - Jan 26th 2010, 10:15 AMshawsend
If then so we integrate over the circle as the radius goes from 0 to 3 and all the way round the circle or just 4 times the part in the first quadrant since f is symmetrical:

and you can check that by just calculating the volume inside the paraboloid via shells and then subtract that from just the cylinder it's housed in:

half-in and half-out right?