The ratio of time for completely emptying the hemispherical tank and circular horizontal tank of equal radii both fitted with similar orifices at their bottoms is : Options: A . &nbsp`pi/3[ ((4//3)RH_1^(3//2) - 2//5 H^(5//2))/((2R)^(3//2) - (2R - H_1)^(3//2))]` B . &nbsp`pi/2[ ((2//5)RH_1^(5//2) - 2//3 H^(3//2))/((3R)^(3//2) - (2R +H_1)^(3//2))]` C . &nbsp`pi/3[ ((4//3)RH_1^(3//2) + 2//5 H^(5//2))/((R)^(3//2) - (2R +H_1)^(3//2))]` D . &nbsp`pi [ ((2//3)RH_1^(3//2) + 2//5 H^(2//5))/((R)^(3//4) +(4R +H_1)^(3//2))]`

The ratio of time for

Question

The ratio of time for completely emptying the hemispherical tank and
circular horizontal tank of equal radii both fitted with similar
orifices at their bottoms is :

Options:

A . `pi/3[ ((4//3)RH_1^(3//2) - 2//5 H^(5//2))/((2R)^(3//2) - (2R - H_1)^(3//2))]`

B . `pi/2[ ((2//5)RH_1^(5//2) - 2//3 H^(3//2))/((3R)^(3//2) - (2R +H_1)^(3//2))]`

C . `pi/3[ ((4//3)RH_1^(3//2) + 2//5 H^(5//2))/((R)^(3//2) - (2R +H_1)^(3//2))]`

D . `pi [ ((2//3)RH_1^(3//2) + 2//5 H^(2//5))/((R)^(3//4) +(4R +H_1)^(3//2))]`

Answer: Option A

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