(Sorry about the squeakiness, this was one of my first videos on this board!) Let S be the solid bounded above by the sphere x^2+y^2+z^2=16 and below by the paraboloid z=(x^2+y^2)/6. Let's compute the volume of S using a double integral with cylindrical coordinates, and then set up two triple integrals which would also compute the volume. #calculus #multivariablecalculus #mathematics #iitjammathematics #calculus3
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