How do I calculate the triple integral for the solid created by the triple integral of "x dV" with limit "D", where D is bounded by paraboloid z=x^2+y^2 and the plane z=1?
Any help is much appreciated. Thanks.
Consider the cross section of the solid when : We have the circle , after our conversion to cylindrical coordinates.
Thus, we can make the claim that , , and .
Taking into consideration that in the cylindrical coordinate system, we see that
Can you continue on with the calculation?