Problem

The suspension bunker is made from plates which are curved to the natural shape which a co...

The suspension bunker is made from plates which are curved to the natural shape which a completely flexible membrane would take if subjected to a full load of coal. This curve may be approximated by a parabola, y = 0.2x2. Determine the weight of coal which the bunkcr would contain when completely filled-Coal has a specific weight of γ = 50 lb/ft3, and assume there is a 20% loss in volume due to air voids Solve the problem by integration to determine the cross-sectional area of ABC; then use the second theorem of Pappus-Guldinus lo find the volume.

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