SOLUTION: A cylindrical vessels can hold 154 gms of water.if the radius of its base is 3.5 cm and 10 cm of water weighs 1 gm,then the depth of the water is

Algebra ->  Volume -> SOLUTION: A cylindrical vessels can hold 154 gms of water.if the radius of its base is 3.5 cm and 10 cm of water weighs 1 gm,then the depth of the water is      Log On


   

Question 776253: A cylindrical vessels can hold 154 gms of water.if the radius of its base is 3.5 cm and 10 cm of water weighs 1 gm,then the depth of the water is
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Water is very very near to 1 gram per cubic centimeter. The volume that the cylinder can hold can be approximated to the mass of water that it can hold. Find a formula for the "depth" of the cylinder:

V=h%2Api%2Ar%5E2
h=V%2F%28pi%2Ar%5E2%29
Using the full volume, 154 grams = 154 cm^3 and the given radius,
h=154%2F%28pi%2A3.5%5E2%29
h=4 cm.

This cylinder CANNOT be filled to 10 cm, because it can only be filled to its fully maximum measurable depth of 4 cm. Even further, 10 centimeters depth of water will weigh far, far more than 1 gram.

Recheck your problem description.