Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = ar and its surface area is 4zr?. Determine the rate at which the volume is changing with respect to time whenr = 15 cm. (Use symbolic notation and fractions where needed.) dV cm³/min dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = Tr 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
cm³ /min
%D
dt
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = Tr 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 cm³ /min %D dt
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