There is a half-filled round bottomed flask(of spherical shape) with radius \(R = 3 m\) and let the cap be a cylinder of radius \(d = 1.5 m\). The cylinder is attached to a pump which sucks all the liquid filled inside the rb flask out of the flask into the ground. All the liquid is pumped out of the rb flask in \(\tau = 2 s\). Find the minimum work that must be done by the pump to achieve this objective. Put your answer to the nearest integer.

**Details and Assumptions**

Density of liquid is \(\rho = 1 kgM^{-3}\)

Take \(g = 10 ms^{-2}\)

Height of the cylinder is assumed to be negligible.

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