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December 21, 2014

December 21, 2014

Posted by **Lindsey** on Monday, July 9, 2012 at 10:34pm.

Not sure how to get volume of the .5 in thick steel tank (Just the steel material). I can calculate the water volume of the tank.

Im assuming the volume of the water is determined from diamter of 21 ft of the sphere.

- Physics -
**ajayb**, Tuesday, July 10, 2012 at 7:58amYou can consider the surface area of the sphere (4*pi*r^2) as the surface area of the steel plate. Multiply it with the thickness i.e. 0.5in to get volume of the steel material.

- Physics -
**Elena**, Tuesday, July 10, 2012 at 8:09amI’ve calculated in SI units:

D=21 ft =6.4 m => R= 3.2 m (outer radius of the tank)

h= 0.5 in= 0.0127 m,

ρ1 =150 lb/ft³=2403 kg/m³ (this is not steel. It may be duralumin)

ρ2 =1000 kg/m³ (water)

V=0.85V2

V1=4πR³/3=4π•3.2³/3=137.26 m³

V2=4π(R-h)³/3=4π•(3.2-0.0127)³/3=135.63 m³

ΔV=V1-V2=137.26-135.63=1.63 m³,

Mass of the tank is

m1= ρ1• ΔV=2403•1.63=3916.9 kg.

Mass of the water is

m2= ρ2•0.85•V2=1000•0.85•135.63= =115285.5 kg.

The weight of the tank with the water is

(m1+m2) •g.

The weight on each of the four support legs is

(m1+m2) •g/4 =119202.4• 9.8/4=

=292045.9 N.

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