Alarge, cylindrical water tank with diameter 3.60 m is on a platform 2.00 m above the ground. the vertical tank is open to the air and the depth of the water in the tank is 2.00 m. there is a hole with diameter 0.520 cm in the side of the tank just above the bottom of the tank. the hole is plugged with a cork. you remove the cork and collect in a bucket the water that flows out the hole. part a when 1.00 gal of water flows out of the tank, what is the change in the height of the water in the tank?

To solve this problem it is necessary to apply the concepts related to the geometry of a cylindrical tank and its respective definition.

The volume of a tank is given by

Where

d = Diameter

h = Height

Considering that there are two stages, let's define the initial and final volume as,

We know as well by definition that

Then we have for the statement that

Replacing the previous data

Solving to get h,

Therefore the change is

Therefore te change in the height of the water in the tank is 0.37mm

15.3 cos 65 degrees trig