Determine the Volume of the solid ?

[rclakmal]

Homework Statement

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;

Homework Equations

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?

 

[chriscolose]

Homework Statement

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;

Homework Equations

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?

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.

 

[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 ?