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A large hemispherical water tank of radius R is filled with water initially upto a height h= R 2 . The water starts dripping out through a small orifice of cross section area 'a' at its spherical bottom. The time taken to get the tank completely empty (neglect viscosity) is

Options

  1. At= 19 R^2 60 a R g
  2. Bt= 3 R^2 10 a R g
  3. Ct= 17 R^2 60 a R g
  4. Dt= R^2 4 a R g

Correct answer

C. t= 17 R^2 60 a R g

Step-by-step solution

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