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## Homework Statement

A barge has a waterline area 25m

^{2}and sides that can be assumed to be vertical. If 7 tonnes of grain is removed from the barge by how much will the barge rise in the water. Assume that the grain was evenly distributed and the barge rises without tilting.

## Homework Equations

not fully sure, see my attempt

## The Attempt at a Solution

Firstly I figure if I find the hydrostatic force acting on the area of the barge, by

*F=Area*(density*gravity*Height*i can then find the force when 7 tonnes has been removed, and then create an integral expression to calculate the height the barge has rised..I reckon I'm thinking about this the complete wrong way, can anyone help?

_{centroid}