The volume if voids of a rhombohedral array of spherical grains with Î±=75Â° is _______

Civil Engineering : Soil Mechanics - Quiz(MCQ)

0.3595

0.3895

0.4266

0.7439

Correct Answer : 0.3895

Explanation : α=75°
The total volume V=(1-cosα)*(√(1+2cosα))
∴ V=(1-cos75°)*(√(1+2cos75°))
V=0.9131
Volume of the solids Vs=(π/6)=0.5236
Volume of the voids Vv=V-Vs=0.9131-0.5236
Vv=0.3895.

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