a) Prove that the volume bounded by the ellipsoid is 4abc/3. b) Let a, b, c, d

a) Prove that the volume bounded by the ellipsoid

is 4Ï€abc/3.
b) Let a, b, c, d be positive numbers and r2 c) Show that for any a > 0, the volume of the region bounded by the cylinders x2 + z2 = a2 and y2 + z2 = a2 is 16a3/3.

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x2 , y2 , z2 2