Need Help?RadTalik to a Tutor s 1 Previous Answors LarCalc 10 2.6.014 A spherica

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Need Help?RadTalik to a Tutor s 1 Previous Answors LarCalc 10 2.6.014 A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 60 centimeters? cm/min (b) How fast is the radius of the balloon changing at the instant the radius is 80 centimeters? cm/min Tak to a Tuter Save ProgressPractice Another Version Need Help? Talk to a Tutor Submit Answer , 1/1 points l Previous Answers LarCalc 102.6.51 4XP.Mi. All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the surface area changing when each edge is 4 centimeters? 288 cm/sec

Explanation / Answer

V=(4/3) r3

a. dV/dt=(12/3) r2(dr/dt)

900=4 (60)2(dr/dt)

dr/dt= 900/(3600*4*)= 0.02cm/min

b. dr/dt=900/(6400*4*)=0.01cm/min

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