find the lenght, or the height

Question

a horizontal cylindrical tank full of fuel with a 2.5 m diameter and 6.25 m length, if i want to take 3 cubic meters of fuel, how many meters should the fuel level drop down to?

Answer 1

The volume of a cylinder is:

 

Volume = pi*radius²* height = pi*r²*h

 

For this problem we have r = 3.125 m and we want to reduce the volume by 3 cubic meters:

 

-3 = 3.142*3.125²*h

 

-3 = 30.68h

 

-0.098 m ≅ h

 

Taking 3 m³ of fuel out will drop the tank level by 0.098m.  If the tank was full to start with, it would drop from 6.25 m to 6.24-0.098 = 6.152 m.