Does buoyancy stay constant when pressure doubles at depth?

[6MDM]

Homework Statement

If a one cubic foot balloon is reduced to half the volume at 2atm or 33ft of water and is two times as dense, Is water at that depth also two times as dense making bouyancy constant at 2atm or even deeper?

Homework Equations

The Attempt at a Solution

 

[Andrew Mason]

Homework Statement

If a one cubic foot balloon is reduced to half the volume at 2atm or 33ft of water and is two times as dense, Is water at that depth also two times as dense making bouyancy constant at 2atm or even deeper?

What is density in terms of mass and volume?

Is a certain mass of water at that depth compressed to 1/2 of the volume that it occupies at the surface?

AM