Let T be the spatial region that lies within the spherical surface x^2+ y^2 + z^2 =
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Question:
Let T be the spatial region that lies within the spherical surface x^2+ y^2 + z^2 = 4 and within the cylinder x^2 + ( y 1)^ 2 = 1. Use polar coordinates to calculate the volume of T.
(Hint: Take advantage of the symmetry properties of the area.)
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