The Extreme Value Theorem is used to find the maximum and minimum value of a function through its interval (range) of points. Here we look at how to use the Extreme Value Theorem to find the dimensions of a cylinder that will provide the maximum possible volume. We assume the cylinder is bounded by a cone with a height of 10 units and radius of 7 units.
Extreme Value Theorem and Geometric Shapes
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X Y r 7-r 7 h 10 7-r h = 3.32 r = 4.67

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