Calculus

I just want to know how to set up the integral for this problem. Use spherical coordinates to find the volume of the solid in the first octant that lies inside a cone and a sphere.This is for practice to prepare for the real problem with functions.
this is what I think how it should look like V=[0,π/2]∫() [0,π/2]∫() [ρ1,ρ2]∫()dρdφdθ Do you think i set it up right?

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  1. Your volume element is a weird amalgam of rectangular and cylindrical coordinates.

    The volume element in spherical coordinates is
    dv = r^2 sinθ dρ dφ dθ
    In cylindrical coordinates,
    dv = ρ dρ dφ dz

    google can provide you with examples, such as

    http://hyperphysics.phy-astr.gsu.edu/hbase/sphc.html

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