In the derivation of the formula for volume of a sphere, we started with a cylinder with two cones inside. Imagine passing a horizontal plane through the figure, creating radius b, as shown below.
What is the cross-sectional area of the shaded ring?
πb2 - πr2, or π (b2 - r2)
πb2 + πr2, or π (b2 + r2)
πr2 - πb2, or π (r2 - b2)
πr2 + πb2, or 2π (r2 + b2)
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