#Quality Question
#Applicaton of Derivative.
A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at the rate of 50 cm^3/min. When the thickness of ice is 5 cm then the rate(in cm/min) at which of the thickness of ice decreases is
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Answered by
45
A spherical iron ball of 10 cm and radius is coated with the layer of ice of uniform thickness,
Let the thickness is x cm.
On differentiating both side w.r.t t we get,
where t is time in min
When x = 5cm then
Negative sign indicates that the thickness of ice layer decreases with time.
Answered by
42
Let the thickness is x cm.
So,
Differentiating both side w.r.t t
So
When x = 5cm then
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