Mechanics Challenge 3

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

1. Density of liquid is $\rho = 1 kgM^{-3}$

2. Take $g = 10 ms^{-2}$

3. Height of the cylinder is assumed to be negligible.