Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = ar and its surface area is 4ar. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA cm?/min dt II

Algebra & Trigonometry with Analytic Geometry
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
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Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = nr'and its surface
%3D
area is 47r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming thatr = 10 at
t = 0.
(Use symbolic notation and fractions where needed.)
dA
cm?/min
dt
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = nr'and its surface %3D area is 47r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming thatr = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA cm?/min dt
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