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The volume V is 4/3¶3. Substituting, 4/3¶r3 = 1/3r * S.A. To solve for the surface area, multiply both sides by 3/r. 3/r * 4/3¶r3 = 3/r * 1/3r * S.A. 4¶r2 = S.A. Sphere Surface Area Formula: The surface area SA of a sphere with radius r is 4¶r2. S.A. = 4¶r...
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Sphere - Wikipedia, the free encyclopedia
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The surface area of a sphere of radius 'r' is given by: ... Example 1 if 'r' = 5 for a given sphere, and p = 3.14, then the surface area of the sphere is: ... Also, if the surface area of the sphere is known, then the radius can be calculated like this:
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In this hands-on Explorer lesson students learn the derivation of the surface area formula for a sphere. ... Here is a concrete way to show students why the surface area of a sphere is derived from the formula 4 pi x r2.
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We get the integral from 0 to infinity of Vr^(N - 1)e^(-r^2) , where V is the surface volume of a sphere. Integrate by parts repeatedly to get the desired formula. It is possible to derive the volume of the sphere from ``first principles''.
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A thread from the Geometry Forum newsgroup archive ... Proof of formula for surface area for sphere by Thomas Foregger on 09/12/95. ... Re: Proof of surface area of a sphere formula by Thomas Foregger on 09/13/95.
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