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 surfac rea is 4xr. Determine the rate at which the surface area is changing with respect to time at i = 2 min, assuming that r = tt = 0. Use symbolic notation and fractions where needed.) dA cm?/min dt

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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ar'and its surface
area is 4ar?. Determine the rate at which the surface area is changing with respect to time at i = 2 min, assuming that r = 10
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V =
at t = 0.
(Use symbolic notation and fractions where needed.)
dA
cm?/min
dt
II
Transcribed Image Text:ar'and its surface area is 4ar?. Determine the rate at which the surface area is changing with respect to time at i = 2 min, assuming that r = 10 Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = at t = 0. (Use symbolic notation and fractions where needed.) dA cm?/min dt II
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