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A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. How much portion of the underground tank is still filled water after filling the overhead tank completely?

A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. How much portion of the underground tank is still filled water after filling the overhead tank completely? Correct Answer 1/3

Given 

Height and radius of cylindrical tank = 7m and 2 m

Formula Used 

Volume of cylinder = πR2H

 volume of cuboid = length × breadth × height 

Calculation 

⇒ volume of cylinder = (22/7) × 22 × 7 = 88 m3

⇒  Volume of underground tank = 5.5 × 4 × 6 = 132 

⇒ portion of the underground tank is still filled water after filling the overhead tank completely = (132 - 88)/132 = 1/3 

∴ portion of the underground tank is still filled water after filling the overhead tank completely is 1/3 

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