A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod is 12 cm and its radius is 2 cm, its length is decreasing at a rate of 0.25 cm per minute. How fast is the radius of the rod changing at this same moment?

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...
Question

A cylindrical rod made of ice is melting at a rate of 8 cm3
per minute. When
the length of the rod is 12 cm and its radius is 2 cm, its length is decreasing at a rate of
0.25 cm per minute. How fast is the radius of the rod changing at this same moment?

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