integral from cylindrical coordinate to rectangular coordinate first i find the limits(upper/lower boundaries of x,y and z).
We know that (from the integral)
so we can say the upper limit of is:
and lower limit of is:
Also we know from the integral that
So we can say:
As a result the upper limit of is:
Again from the integral
Using the same procedure we can say lower limit of is:
Upper limit of is
and lower limit of is
Now my result is:
But the answer is different. It is:
Why the answer is different? Can anyone kindly point out where i did wrong?