# An open rectangukar tank with dimensions 35cm 55cm 36cm is initialy half filled with water .find the depth of water in the tank after 7700cm^3 water is added to it.

Answer :      Volume of tank when it is half filled  i.e height of the tank will be half =18 cm

⇒    Length = 55 cm  , breadth =35 cm

⇒ volume of tank when it is half filled = $\\ 55\times 35\times 18=34650cm^{3}$

⇒ Total volume after  $\\ 7700 cm^3$ is added to it

⇒   Total volume of the tank = $\\ 7700+34650=42350cm^3$

$\\ length\times breadth\times depth=42350\\ \\ \Rightarrow 55\times 35\times depth=42350\\ \\ \Rightarrow Depth=22 cm$

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