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?

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?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...

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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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