A solid cone is bounded below by the surface $z=\sqrt{x^2+y^2}$, and its height is 94. Find integrals that compute its volume using Cartesian, cylindrical, and spherical coordinates. For your answers $\theta =$ theta, $\phi =$ phi, and $\rho =$ rho.

Cartesian

 $\displaystyle\int_a^b\int_c^d\int_e^f p(x,y,z) \,dz\,dy\,dx =$ $\displaystyle\int$ $\displaystyle\int$ $\displaystyle\int$ $\hspace{5pt}dz\,dy\,dx$

Cylindrical
 $\displaystyle\int_a^b\int_c^d\int_e^f f(r,\theta,z) \,dz\,dr\,d\theta =$ $\displaystyle\int$ $\displaystyle\int$ $\displaystyle\int$ $\hspace{5pt}dz\,dr\,d\theta$

Spherical
 $\displaystyle\int_a^b\int_c^d\int_e^f g(\rho,\theta,\phi) \,d\rho \,d\phi \,d\theta =$ $\displaystyle\int$ $\displaystyle\int$ $\displaystyle\int$ $\hspace{5pt}d\rho \,d\phi \,d\theta$

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