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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeRate MeasureMedium2 minPYQ_2020
MathematicsMediumsingle choice

A spherical iron ball of10cmradius is coated with a layer of ice of uniform thickness that melts at a rate of50cm3/min. When the thickness of ice is5cm, then the rate (incm/min.) at which of the thickness of ice decreases, is:

Options:

Answer:
D
Solution:

Let thickness=x cm
Total volumeV=43π10+x3
dVdt=4π10+x2dxdt..(i)
GivendVdt=50 cm3/min
Atx=5 cm
50=4π10+52dxdt
dxdt=118π cm/min

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Rate Measure
2mℹ️ Source: PYQ_2020

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