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water drains from a cone (related rates problem)

Calculus Related Rates Problem: How fast is the water level falling as water drains from the cone? An inverted cone is 20 cm tall, has an opening radius of 8 cm, and was initially full of water. The water now drains from the cone at the constant rate of 15 cm$^3$ each second. The water’s… [read more]

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4 Steps to Solve Any Related Rates Problem – Part 2

In our last post, we developed four steps to solve any related rates problem. We introduced three examples to illustrate the basic ideas, and solved two of them there. As promised, we’ll solve the third here. Water Leaving a Cone Example Here’s the problem statement, now with some additional details about the cone itself and… [read more]

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