PLEASE PROVIDE THE ANSWER USING PYTHON CODE!! Use of Sympy, Numpy, etc is acceptable

2. A hemispherical tank full of water has a radius of 3m. Note that the density of water is = 1000 kg/m3 and the acceleration due to gravity is g = 9.8 m/s2 . (Approximate answers acceptable for all parts)

a) How much work is needed to pump all of the water out of the top of the tank?

b) How much work is needed to pump out the top so the remaining water has a depth of h meters?

c) What is the depth of the water in the tank after 100,000 J of work has been done? 3