# Buoyancy on cargoship

1. Jan 10, 2010

### Zaphbeebl

1. The problem statement, all variables and given/known data
I've been working as part of a study group, but I doubt that the result we reached in class is correct, so would someone check our work?

The problem statement: A cargoship weighs in at 115578 ton and lies still in the ocean. The density of the saltwater is given at 1030 kg/m3
what is the area of the water displaced by the weight of the cargoship?
2. Relevant equations

This is the part where I'm somewhat uncertain, since we simply used math tools. This is also the area in which any help would be extremely usefull

3. The attempt at a solution

The attempt at this was:

converting the ships weight to kilograms: 115578 ton = 115578000 kg

Then dividing the weight by the density:
115578000kg/1030 (kg/m3) = 112211,65 m3

2. Jan 10, 2010

### mgb_phys

correct, except you mean the VOLUME of water displaced, not AREA
And you have too many decimal places in you answer, you only know the density to an accuracy of four significant figures so your answer can only be that accurate.
eg 112200m^3