i.e., an equation for in cylindrical coordinates is the following:

- If
*R*is a positive real number, is the equation of a sphere, whose center is at the origin. - If
is a real number,
is the equation of a cone, whose vertex is at the origin, and which makes an opening angle of
with the positive
*z*-axis. - If
is a real number,
is the equation of a half-plane, whose border is the
*z*-axis, and and which makes an angle of with the positive*x*-axis.

The domain of integration is given by the conditions:

The volume is: