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This question belongs to Mechanical Engineering Hydraulics And Fluid Mechanics In ME

Hydraulics and Fluid Mechanics in ME

?

A hemispherical tank of radius (R) has an orifice of cross-sectional area (a) at its bottom and is full of liquid. The time required to empty the tank completely is

A) $$\frac{{14\pi {{\text{R}}^{\frac{1}{2}}}}}{{15{{\text{C}}_{\text{d}}} \times {\text{a}}\sqrt {2{\text{g}}} }}$$ B) $$\frac{{14\pi {{\text{R}}^{\frac{3}{2}}}}}{{15{{\text{C}}_{\text{d}}} \times {\text{a}}\sqrt {2{\text{g}}} }}$$ C) $$\frac{{14\pi {{\text{R}}^{\frac{5}{2}}}}}{{15{{\text{C}}_{\text{d}}} \times {\text{a}}\sqrt {2{\text{g}}} }}$$ D) $$\frac{{14\pi {{\text{R}}^{\frac{7}{2}}}}}{{15{{\text{C}}_{\text{d}}} \times {\text{a}}\sqrt {2{\text{g}}} }}$$

Answer & Solution

Correct Answer: Option C

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