The region $W$ is the cone shown below.

The angle at the vertex is $\pi/3$, and the top is flat and at a height of $5\sqrt{3}$.

Write the limits of integration for $\int_W\,dV$ in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry):

(a) Cartesian:
With $a =$, $b =$,
$c =$, $d =$,
$e =$, and $f =$,
Volume = $\int_a^b\int_c^d\int_e^f$ $d$ $d$ $d$

(b) Cylindrical:
With $a =$, $b =$,
$c =$, $d =$,
$e =$, and $f =$,
Volume = $\int_a^b\int_c^d\int_e^f$ $d$ $d$ $d$

(c) Spherical:
With $a =$, $b =$,
$c =$, $d =$,
$e =$, and $f =$,
Volume = $\int_a^b\int_c^d\int_e^f$ $d$ $d$ $d$