2. Consequently ds means density of solid and
dL density of liquid.
3. If so: Plug in all given values:
which simplifies to
Since the density of the liquid is nearly 3 times larger than the density of the solid the value of h must be smaller than the length of the radius.
4. I used Newton's method to get an approximate value for h:
Start with .
After 3 steps you'll get the value of h with an accuracy of 9 digits.