Sunday, March 29, 2009

Surface of a Sphere

Let's derive the formula for the surface of a sphere. A sphere is a revolution of a circle. Let there be a circle whose function is x2+y2=r2. Then its center is (0,0) and r is its radius.


a circle x^2+y^2=r^2

When we revolve the circle about the x-axis, we get a sphere. Since we already know the formula for the surface of a revolution, we can find the surface area of a sphere as follows:


to derive the formula for the surface area of a sphere

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