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A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.

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Question

A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.

Answer in Brief
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Solution

\\text { [Length of the pool = 250 m  }\]

\[\text { Breadth of the pool = 130 m }\]

\[\text { Also, it is given that 3250 m^3 of water is poured into it . } \]

\[\text { i . e . , volume of water in the pool = 3250  }m^3 \]

\[\text { Suppose that the height of the water level is h m } . \]

\[\text {Then, volume of the water = length } \times \text { breadth  }\times\text { height }\]

\[ \Rightarrow 3250 = 250 \times 130 \times h\]

\[ \Rightarrow 3250 = 32500 \times h\]

\[ \Rightarrow h = \frac{3250}{32500} = 0 . 1 m\]

\[ \therefore \text { The water level in the tank will rise by 0 . 1 m } .\]

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