A solid lies above the cone $z=\sqrt[\phantom{2}]{x^2{y}^2}$ and below the sphere $x^2{y}^2{z}^2=z.$ Write a description of the solid in terms of inequalities involving spherical coordinates.

$0\frac{}{6},cos$

$0\frac{}{4},0cos$

$0\frac{}{3},0cos$

$0\frac{}{2},0cos$

$0\frac{3}{4},0cos$