Consider the solid shaped like an ice cream cone that is bounded by the functions $z = \sqrt{x^2 + y^2}$ and $z = \sqrt{18 - x^2 - y^2} .$ Set up an integral in polar coordinates to find the volume of this ice cream cone.

Instructions: Please enter the integrand in the first answer box, typing theta for $\theta$. Depending on the order of integration you choose, enter dr and dtheta in either order into the second and third answer boxes with only one dr or dtheta in each box. Then, enter the limits of integration and evaluate the integral to find the volume.

$\displaystyle \int_A^B \int_C^D$

A =
B =
C =
D =

Volume =