# Determine the Volume of the solid ?

1. Jun 7, 2009

### rclakmal

1. The problem statement, all variables and given/known data

determine the volume of the solid S which is bounded above by the surface z=10-x^2 and below by the z=Y^2+1;

2. Relevant equations

3. The attempt at a solution

what i did was first i tried to find the intersecting points of two surfaces .So i equal two functions and i got x^2+y^2=9 which is a circle center (0,0) and radius 3.then i used polar coordinates to evaluate this .

(r goes from 0 to 3 and theta goes from 0 to 2*pi )integrate (9-x^2-y^2)drd@.

am i correct ??or have i mad any kind of error?please explain????

2. Jun 7, 2009

### chriscolose

Usually you have the function (of course that needs to be in polar coordinates) not only with dr dtheta, but r dr dtheta, so from what you have done the integral is the function 9r - r^3 with respect to r and then theta. Someone should confirm that though since I haven't looked at this in a while.

3. Jun 7, 2009

### rclakmal

ah yr i forgot it thnaks !!!!!!but am i right up to that point ?????about setting the limits of the integral and other process ?