Q5 of 78 Page 13

Mark the correct alternative in the following:

A cylindrical vessel of radius 0.5 m is filled with oil at the rate of 0.25π m3/minute. The rate at which the surface of the oil is rising, is


The volume of a cylinder, with radius r and height h, is defined by

V(r,h)=πr2h


Substituting r=0.5m, get


- (1)


Given that , we have to calculate


Differentiating (1) with respect to t, we get



Substituting values, we get



⇒

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