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The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches.

The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches. r = 11 in in ³/min r = 38 in (b) Explain why the rate of change of the volume of the sphere is not constant even though dr If is constant, dt If If If dr dt dr dt dt is constant, is constant, is constant, dt dv dr dv dt in ³/min dv dr is proportional to r². is proportional to t². - is equal to 1². is equal to t². 55 is constant.
Transcribed Image Text:The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches. r = 11 in in ³/min r = 38 in (b) Explain why the rate of change of the volume of the sphere is not constant even though dr If is constant, dt If If If dr dt dr dt dt is constant, is constant, is constant, dt dv dr dv dt in ³/min dv dr is proportional to r². is proportional to t². - is equal to 1². is equal to t². 55 is constant.
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