Use the following formulas for the moments of inertia about the coordinate axes of a surface lamina of density ρ.

Verify that the moment of inertia of a conical shell of uniform density about its axis is 1/2ma², where m is the mass and a is the radius and height.  

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Ix = 1₂ I₁ = N ff (y² + z²)p(x, y, z) ds = [S₁ [√(x² + S. (x² + z²)p(x, y, z) ds = SS₁ SJ (x² + y²)p(x, y, z) ds