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Math Help - Volume of a torus

  1. #1
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    Volume of a torus

    Consider a torus that is formed by rotating a circle of radius a, initially lying in the x-z-plane, about the z-axis in such a way that its centre describes a circle of radius A.

    a) Explain how you would set up the volume integral of the torus in spherical polar co-ordinates and hence evaluate this.

    b) Express as a triple integral the moment of inertia of the torus about the z-axis .
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  2. #2
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    I've now read somewhere that

    V = Int{a,-a}Int{pi,-pi}Int{A+sqrt(a^2-z^2),A-sqrt(a^2-z^2)} * rho drho dtheta dz

    where the limits of the integral are in { }.

    Still can't see how this has been constructed though.
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