Answer to Question #280792 in Physics for Raymond

Question #280792

If a hemispherical tank of radius R has an orifice of area a, at its base,determine the time required to empty the tank assuming the tank was initially full.

Expert's answer

"dV=\\pi (2Rh-h^2)dh\\\\-\\frac{dV}{dt}=a\\sqrt{2gh}\\\\t=\\frac{14\\pi R^{2.5}}{15\\sqrt{18}a}"

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