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
⇒