math
posted by ibranian .
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
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
Respond to this Question
Similar Questions

Science
Thanks for everything guys! This really helped! But I have another question related to my other question on here: Will the control be different, though, because the article says this: One one cup, she writes WATER, and fills the cup … 
8th grade
Dimensions of a paper cup. The volume of a paper cup, shaped like a circular cone is 30pie cubic centimeters. The radius of the top of the cup is 3 centimeters. What is the height of the cup? 
calculus
water is poured into a conical paper cup so that the height increases at the constant rate of 1 inch per second. if the cup is 6 inches tall and its top has a radius of 2 inches, how fast is the volume of water in the cup increasing … 
physics
An aluminum cup is filled to the brim with precisely 0.400 liters of mercury at a temperature of 20 °C. The cup and mercury are then allowed to warm up to a temperature of 50 °C Calculate the change in volume of the cup and the change … 
physics
An aluminum cup is filled to the brim with precisely 0.400 liters of mercury at a temperature of 20 °C. The cup and mercury are then allowed to warm up to a temperature of 50 °C Calculate the change in volume of the cup and the change … 
Physics
7. A plastic cup, 15.0 cm in height, is filled to the rim with water. A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out. At what distance does the water land from … 
calculas
4.A paper cup, which is in the shape of a right circular cone, is 16 cm deep and has a radius of 4 cm. Water is poured into the cup at a constant rate of . 3 2cm / sec (a) At the instant the depth is 5 cm, what is the rate of change … 
math
To meke a batch of sugar cookies , you need 0.75 cup of sugar and 1/3 cup of butter , among other ingredients. How much more sugar do you need that butter? 
math
Water is being poured into a conical cup that is 12cm tall. a) When the water in the cup is 9cm deep, what percentage of the cup is filled? 
Math
A recipe call for 2 2/4 cup of raisins,but Julie only has a1/4cup measuring cup. How many 1/4 cup does Julie need to measure out of 2 2/4 cup of raisins