Water is flowing at the rate …
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Yogita Ingle 6 years ago
Internal diameter of pipe = 2 cm
Internal radius of pipe = 1 cm
radius of base of tank = 40 cm
Speed of water flowing out from pipe = 7 m / sec ={tex} 7\times\frac{100}{\frac{1}{60}}=7\times100\times60=42000\:cm/min{/tex}
Quantity of water flows out from pipe in 1 min = {tex} \pi\times1^2\times42000 cm³{/tex}
Quantity of water flows out from pipe in 30 min = {tex}\pi\times1^2\times42000\times30{/tex}
= 3960000 cm³
let H be the height of water level in tank
Quantity of water filled in tank in 30 min = 3960000 cm³
{tex}\pi\times40^2\times H=3960000{/tex}
{tex}H=3960000\times\frac{7}{22\times1600}{/tex}
H=787.5
Therefore, Water level increases to 787.5 cm in half hour.
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