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Water is pumped from a cubical …

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Water is pumped from a cubical tank of 4m''3mand 2m to an overhead tank in shape of cylinder. The overhead tank has radius 60cm height 80cm..find height of water left in cubical tank after overhead tank is completely filled with water.

Posted by Rita Gokani 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 11 months ago

volume of cuboid tank =4 x 3 x 2={tex}24 m^3=24000000 cm^3{/tex}

volume of overhead tank={tex}\mathrm{πr}^2\mathrm h=.3.14\times60\times60\times80=904320\;\mathrm{cm}^3{/tex}

{tex}\begin{array}{l}\mathrm{Water}\;\mathrm{left}\;\mathrm{in}\;\mathrm{the}\;\mathrm{cuboidal}\;\mathrm{tank}\\=24000000-904320\;=2309560\;\mathrm{cm}^3\\\end{array}{/tex}

so height of water in the cuboid tank

{tex}\begin{array}{l}=\frac{\mathrm{volume}}{\mathrm{area}}=\frac{2309560}{400\times300}=19.246\;\;\mathrm{cm}\\\end{array}{/tex}

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