Assume that the radius r of a sphere is expanding at a rate of 50 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 18849.56 cm?/min dt Incorrect

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Assume that the radius r of a sphere is expanding at a rate of 50 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 whenr = 15 cm.
(Use symbolic notation and fractions where needed.)
dy
18849.56
cm³/min
dt
Incorrect
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 50 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 whenr = 15 cm. (Use symbolic notation and fractions where needed.) dy 18849.56 cm³/min dt Incorrect
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