Math, asked by DangerDude777, 11 months ago

A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second ,
how much time will it take to empty the tank if its diameter is 3m ?

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Answered by Rockysingh07

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Answered by VelvetBlush

Radius of the tank = r = $\sf{\frac{3}{2}m}$

Volume of full hemispherical tank =

$\longrightarrow$ $\sf{\frac{2}{3} \pi {r}^{3} = \frac{2}{3} \times \frac{22}{7} \times {( \frac{3}{2}}^{3} ) {m}^{3} = \frac{99}{14} {m}^{3} = \frac{99000}{14} litres}$

Volume of half hemispherical tank = $\sf{frac{99000}{28} litres}$

Speed of water = $\sf{\frac{25}{7}litres/s}$

Time taken to empty half tank

$\longrightarrow$ $\sf{\frac{ \frac{99000}{28}litres }{ \frac{25}{7}litres/s } = \frac{99000}{28} \times \frac{7}{25} s = 990 \: seconds = 16min. \: and \: 30 \: sec.}$

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A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second ,how much time will it take to empty the tank if its diameter is 3m ?​

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A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 litres per second ,
how much time will it take to empty the tank if its diameter is 3m ?