# 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.

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