Posted by **ibranian** on Wednesday, August 8, 2012 at 3:20pm.

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)?

- math -
**drwls**, Wednesday, August 8, 2012 at 11:00pm
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

## Answer This Question

## Related Questions

- 8th grade - Dimensions of a paper cup. The volume of a paper cup, shaped like a ...
- calculas - 4.A paper cup, which is in the shape of a right circular cone, is 16...
- calculus - water is poured into a conical paper cup so that the height increases...
- Calculus(answer needed immediatly,thanks) - A paper cup has the shape of a cone...
- Calculus - Find the radius, volume, and hieght of the right- circlar cylindar ...
- geometry math - There is an upside-down cone that is 12m high and has a circular...
- Science - Thanks for everything guys! This really helped! But I have another ...
- calculus - water in a paper conical filter drips into a cup. let x denote the ...
- Physics - 7. A plastic cup, 15.0 cm in height, is filled to the rim with water. ...
- math - Inside a long empty cylinder with radius R = 25 cm is put a long solid ...

More Related Questions