The task is to set up the integral needed to calculate a volume between two surfaces. [br][br]Below is the image of a cone and a sphere, with the given equations

[u][color=#0000ff]https://www.geogebra.org/classic/tspwefv7[/color][/u][br][br]We want to find the volume between the surfaces (above the cone and below the sphere).[br][br]To do this, we change to spherical coordinates.

Below is a volume defined using spherical coordinates. [br][br]Change the maximum values of [math]\rho[/math], [math]\theta[/math], and [math]\phi[/math] to get a volume that corresponds to [br]the volume between the cone and the sphere above.

[u][color=#0000ff]https://www.geogebra.org/classic/snktstwr[/color][/u]