SCALCET8 3.9.005.MI. A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing

The height of the water is increasing at a rate of 0.05m/min.

Step-by-step explanation:

Volume of a cylinder:

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

Radius 5 m

This means that , and so:

How fast is the height of the water increasing?

We have to differentiate V and h implictly in function of t. So

Being filled with water at a rate of 4 m3/min

This means that . The questions asks . So

The height of the water is increasing at a rate of 0.05m/min.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0