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(1) In Figure A, the bottom of the cup is under the pressure of water in the bucket:

P = rho water GH =1.0×103kg/m3× 9.8n/kg× 0.06m = 588pa.

(2) The change of water depth after putting pebbles in the cup:

△h=5.5cm-4cm= 1.5cm,

The volume of small stones:

V stone = s △ h = 20cm2×1.5cm = 30cm 3 = 3x10-5m3.

(3)∵ The pebble floats before and after being put into the cup.

Gravity of small stones:

G stone =△F floating = ρ water g△V row =1.0×103kg/m3× 9.8n/kg× (0.09m-0.06m )× 2×10-3m2 = 0.588n,

Density of small stones:

ρ stone =m stone v stone =G stone v stone g=0.588N3× 10? 5m3×9.8N/kg=2× 103kg/m3。

Answer: (1) In Figure A, the pressure of water in the bucket at the bottom of the cup is 588Pa;;

(2) The volume of pebbles is 3×10-5m3;

(3) The density of pebbles is 2× 103kg/m3. /m3。