A storage tank is in the form of a cube. when it is full of water, the volume of water is 15.625 m3.if the present depth of water is 1.3 m, find the volume of water already used from the tank.
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Answer:
7.5 m^3
Given:-Volume of water=15.625 m^3
Present dept of water=1.3m
To find:-
Volume of water used from the tank
Solution:-
Let each edge of the tank be a m
volume of water in the water=(a^2)m^3
But volume of water is given=15.625 m^3
a^3=15.625
=15625/1000
=125/8
=(5/2)^2
Thus,each edge of the tank is 2.5m
present depth=1.3m
Volume of water=(2.5×2.5×1.3)m^3
=(5/2×5/2×13/10)m^3
=65/8m^3
=8.125 m^3
Volume of water used from tank=
=(15.625-8.125)m^3
=7.5 m^3
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