Question

If ice has a specific gravity of 0.917 whereas for water it is 1.00, what fraction of an ice cube's volume is submerged?

a) 88%

b) 90%

c) 92%

d) 94%

please explan and show work!

Answer 1

Suppose the volume of the object is V. Let us denote V' as the volume immersed in the water. Denote the density of water as 1 in some unit. Specific gravity of this object is 0.917, which means its density is equal to 0.917 in this unit.

At equilibrium, buoyancy must equal the gravitational force

Buoyancy : 1(water density) V' g

Gravity : 0.917 Vg

V'g= 0.917V

V'=0.917V.

In other words, the volume immersed in the water is 91.7% of its object volume. Therefore the answer is 92%