I am having trouble just setting up the integrals for this problem.
Find the volume of the solid bounded by $x^2 + y^2 = 1, z = 0$, $z = 6$, $y\geq 1/2$.
a) Use integration with Cartesian coordinates.
b) Use integration with Cylindrical coordinates.
c) Use integration with Spherical coordinates. (Hint: Use two triple integrals and tangent inverse)
The solid should look like this.
Assuming I used Mathematica correctly, I get this.