If a circular iron sheet of radius 30 cm is heated such that its area increases at the uniform rate of 6 π cm 2 / hr , then the rate (in mm / hr ) at which the radius of the circular sheet increases i

Question

If a circular iron sheet of radius 30 cm is heated such that its area increases at the uniform rate of 6 π cm 2 / hr , then the rate (in mm / hr ) at which the radius of the circular sheet increases is

TestHub · Accepted Answer

Let A = π r 2 . d t d A ​ 6 π ⇒ 30 3 ​ = ​ = 2 π r ⋅ d t d r ​ = 2 π ( 30 ) ⋅ d t d r ​ d t d r ​ ⇒ d t d r ​ = 10 1 ​ = 0.1 ​ Thus, the rate at which the radius of the circular sheet increases is 0.1

Mathematics - Application of Derivative Question with Solution | TestHub

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