How Much Additional Mass Can a Floating Glass Hold Before Sinking?

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To determine how much additional mass a floating glass can hold before sinking, the density and volume of the glass must be calculated. The glass, with a radius of 0.0400 meters and a height of 0.150 meters, has a mass of 0.500 kg. The relevant principle to apply is Archimedes' Law, which states that the buoyant force must equal the weight of the displaced water. The user is unsure how to proceed after calculating the density of the glass. Proper application of these principles will yield the maximum additional mass the glass can support without sinking.
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Homework Statement



A drinking glass with the shape of a cylinder was floating in a sink. The glass had a radius of 4.00cm, a height of 15.0cm and a mass of 500 grams. Calculate the maximum mass which can be added to the glass without the glass sinking.

Homework Equations



Density=mass/volume

The Attempt at a Solution



I know I have to convert radius, height and mass.
radius is .0400 meters, height .150 meters and mass is .500 kg.
I feel as though height is irrelevant in this problem to find the maximum mass.

I started out finding the density of the glass

.500*.400= .200 kg

not sure where to go from here.
 
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Apply Archimedes' Law.

ehild
 

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