The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. a.) At the time when the volume of the sphere is 36π cubic meters, what is the rate of increase in its surface area? b.) Express the rate at which the volume of the sphere changes with respect to the surface area of the sphere (as a function of r).
The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. a.) At the time when the volume of the sphere is 36π cubic meters, what is the rate of increase in its surface area? b.) Express the rate at which the volume of the sphere changes with respect to the surface area of the sphere (as a function of r).
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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1. The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second.
a.) At the time when the volume of the sphere is 36π cubic meters, what is the rate of increase in its surface area?
b.) Express the rate at which the volume of the sphere changes with respect to the surface area of the sphere (as a function of r).
Please answer thoughtfully and don't copy from the same question I asked on the site that gave me the wrong answer.
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