Thread: Multiple Integration Volume

Any help greatly appreciated.

Find the volume of the solid under the surface z=(8+x)(8+y) and above the region in the xy-plane given by (x^2)+(y^2) less than or equal to 36.
Hint: Use polar coordinates.

Thanks in advance.

Mike

Originally Posted by JaysFan31

Any help greatly appreciated.

Find the volume of the solid under the surface z=(8+x)(8+y) and above the region in the xy-plane given by (x^2)+(y^2) less than or equal to 36.
Hint: Use polar coordinates.

Thanks in advance.

Mike

In cylindrical polars we have:



Where we have used the fact that the volume element in cylindrical polars
is , and changed the order of integration to suit the problem.

RonL