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    Double Integral : Volume of a solid - polar and rectangular coordinates

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    Consider the solid bounded above by the plane Z = 4 and below by the circle X^2 + Y^2 = 16 in the XY-plane.

    a) Write the double integral in rectangular coordinates to calculate the volume of the solid.

    b) Write the double integral in polar coordinates to calculate the volume of the solid.

    c) Evaluate part a or part b

    keywords: integration, integrates, integrals, integrating

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    The volume of a solid using polar and rectangular coordinates is found. The solution is detailed and well presented.