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

[C-A-L]

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.

 

[ehild]

Apply Archimedes' Law.

ehild