Water, at the rate of 12 cubic feet per minute, is pouring into a leaky container whose shape is a cone 20 feet deep and 10 feet in diameter at the top. At the time the water is 10 feet deep, the water level is observed to be rising at 0.25 feet per minute. How fast is the water leaking away in feet per minute? (Hint: How fast should the water level be rising?) Answer in exact form.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Water, at the rate of 12 cubic feet per minute, is pouring into a leaky container whose shape is a cone 20 feet deep and 10 feet in diameter at the top. At the time the water is 10 feet deep, the water level is observed to be rising at 0.25 feet per minute. How fast is the water leaking away in feet per minute? (Hint: How fast should the water level be rising?) Answer in exact form.

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