Mark the correct alternative in the following:
A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of

Question

Philoid · Accepted Answer

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

V(r,h)=πr²h

Given that r=10m, we get

V(h)=π×10²×h=100πh – (1)

Given that , we have to calculate

Differentiating (1) with respect to t, we get

Substituting values and using π=3.14, we get

⇒

Mark the correct alternative in the following:A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of