potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder increases and the radius, r, decreases. If the length of the cylinder is increasing at 0.1 cm/sec, find the rate at which the radius in changing when the radius is 1 cm and the length is 5 cm. (Note: A cylinder with radius r and length L has volume V=pir2L.)

potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder increases and the radius, r, decreases. If the length of the cylinder is increasing at 0.1 cm/sec, find the rate at which the radius in changing when the radius is 1 cm and the length is 5 cm. (Note: A cylinder with radius r and length L has volume V=pir2L.)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.6: Solving Problems Involving Quadratic Equations

Problem 1.3E

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Question

A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder increases and the radius, r, decreases. If the length of the cylinder is increasing at 0.1 cm/sec, find the rate at which the radius in changing when the radius is 1 cm and the length is 5 cm. (Note: A cylinder with radius r and length L has volume V=pir²L.)

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