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Given :
Total depth of the tank =21m
Total volume of the tank =10250m3
RD =0.9
According to question , Space left for expansion is
=(3% of the volume of the oil)
Let ‘v’ be the volume of the oil
3 /100 x v = volume of free space
(Volume of free space) + (volume of oil) = (volume of tank)
( 3/100 x v + v ) = 10250m3
(3v /100 + v) = 10250m3
(103v /100) = 10250m3
V = (10250×100 /103)
= 9951.456m3
Volume of the free space = (10000 -9951.456) m3
= 48.544m3
Depth of the free space = (volume / area )
= (48.544 /500)
= 0.0970m