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Volume of a sphere
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SOLVED:A spherical cap is the region of a sphere that lies above or below a given plane. a. Show that the volume of the spherical cap in the figure below is (1)/(6) πh(3 a^2 h^2). b. A spherical segment is the solid defined by intersecting a sphere with two parallel planes. If the distance between the planes is h, show that the volume of the spherical segment in the figure below is (1)/(6) πh(3 a^2 3 b^2 h^2).
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