A swimming pool (Figure) is conical in shape of diameter \( 20 \mathrm{~m} \). To measure the de...

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A swimming pool (Figure) is conical in shape of diameter \( 20 \mathrm{~m} \). To measure the depth of the pool, a pipe line having cross sectional area of \( \pi \mathrm{mm}^{2} \) has been introduced through the base centre to the depth of the pool. The other end of the pipeline is connected with the gas cylinder. When gases are passed through the pipeline, it has been measured that the volume of each bubble across the pipeline at the surface of the pool is \( 2 \pi \mathrm{mm}^{3} \). Assume the temperature of water to be same as that of atmosphere and 1 at \( \mathrm{m} \) pressure is equal to \( 10 \mathrm{~m} \) of water column. If the water holding capacity of the swimming pool is \( V \mathrm{~m}^{3} \). then the value of \( 3 V \) \( 100 \pi \) is
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