A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of when the thickness of ice is 5 cm than the rate at which the thickness of ice decreases.
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a
590π cm/min
b
905π cm/min
c
95π cm/min
d
90π cm/min
answer is A.
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Detailed Solution
V =43 πr3dVdt=4πr2drdt50=4π(15)2drdtdrdt=50900π=590πcm/min