Assume that the radius r of a sphere is expanding at a rate of 90 cm/min. The volume of a sphere is V = ar and its surfacearea is 4ar. Determine the rate at which the volume is changing with respect to time when r = 15 cm.(Use symbolic notation and fractions where needed.)dVcm³/min%3Ddt

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Answered: Assume that the radius r of a sphere is…

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

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 14P

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Assume that the radius r of a sphere is expanding at a rate of 90 cm/min. The volume of a sphere is V = ar and its surface area is 4ar?. Determine the rate at which the volume is changing with respect to time when r = 15 cm. (Use symbolic notation and fractions where needed.) dV cm /min dt