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

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