Where r radius of the sphere derivation for volume of the sphere the differential element shown in the figure is cylindrical with radius x and altitude dy. Working 2000 years before the development of calculus the greek mathematician archimedes worked out a simple formula for the volume of a sphere of his . Proof by integration using calculus here is a sphere if you cut a slice through it at any arbitrary position z you get a cross sectional circular area as shown in . I dont know of any method that doesnt rely on caculus but the volume is a pretty easy volume of rotation integration just set up a hemi sphere as the
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