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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).
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The accompanying figure shows a spherical cap of height h cut from a sphere of radius r. Show that the surface area S of the cap is S=2 πr h . [Hint: Revolve an appropriate portion of the circle x^2 y^2=r^2 about the y -axis. | Numerade
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