Diameter 0.8 m height 1.2 m floats in water

[darkmagic]

Homework Statement

Given:
diameter 0.8 m
height 1.2 m
floats in water
how far will it sink in a liquid (density =1360 kg/m^3)

Homework Equations

Buoyant force

The Attempt at a Solution

In the attachment
I'm stuck on how to find the volume of the submerged cone in the liquid
please help

 

[nvn]

You are doing well, so far. Hint 1: Write d (or r, or x) as a function of L.

 

[darkmagic]

This what I think: since the liquid is more dense than water, then the cone will float a little. From triangle, 0.8 becomes 0.8+y and 0.4 becomes 0.4-y. The ratio and proportion becomes 0.4/1.2 = x/(0.8 + y). Am I correct? or the cone will sink a little?

 

[nvn]

No. Hint 2: 0.4/1.2 = x/L.