ρ water = 1g/cm 3
1) For ice: m=ρ ice *V ice, v ice =m/ρ ice.
After melting into water, V water =m/ρ water.
V ice -V water =m/ρ ice -m/ρ water = 0.5 *10cm3;
Namely: m (10/9-1) = 5;
So: m=45g.
V ice = m/ρ ice = 50 cubic centimeters.
2) Stone mass M=55-m= 10g
3) when ice and stone are suspended in water, the total volume V0=m/ρ water = 55cm 3,
Volume of stone: V stone =V0-V ice = 5cm 3.
That is ρ stone =M stone /V stone = 10/5 = 2g/cm 3, that is, 2* 10 cubic kg/ m3.