The area of the parabola x^2=4y-4 cut through its latus rectum is revolved about the horizontal line passing through its vertex. Find the volume generated

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A: Answer

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A:

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A: Here we use the concept of APPLICATIONS OF DERIVATIVES

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A: SOLUTION-

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A: Shown below

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A:

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A: Figure of right circular cone and inscribed parabola.

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Q: Find the dimentions of a cylinder. See images

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.