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Questions  

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

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detailed solution

Correct option is A

V  =​​43 πr3dVdt=4πr2drdt50=4π(15)2drdtdrdt=50900π=590πcm/min


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