Find the volume bounded by the cylinder X^2+ Y^2= 4 and hyperbolic X^2 + Y^2- z^2=1
Can someone suggest me how to take the limits.
- i tried following limits
- z from 1 to root(X^2+ Y^2-1)
- x from 0 to root(4-y^2)
- y from 0 to 2
Can someone tell me mistakes if any and also tell limits in cylindrical coordinates please.
Hint:
so you will have $- \sqrt{r^2-1} \le z \le \sqrt{r^2-1}, \; 1 \le r \le 2$