math
posted by ibranian on .
The interior of a typical mesung cup is a right circular cylinder of radius 6 cm. The volume of water we put in the cup is therefore a function of the level h to which the cup is filled. How closely do we have to measure h to measure out one liter of water with an error of no more than 1% (i.e. 10 cm3)?

The cylinder cross section area is
pi*r^2 = 113.1 cm^2
The height of a column of liquid containing a volume of 1000 cm^3 is
h = 1000/113.1 = 8.84 cm
For a volume measurment accuracy of 1%, the height measurement accuracy must also be 1%, or in this, case 0.09 cm