A tank has the shape of a sphere with a radius of 5 m. It is filled with water up to 9 m.(i) Let x be the height in meters measured from the bottom of the tank. The weight in Newtons of a thin layer of water between x and x + ?x is approximately P (x) ?x. What is P (x)?P (x) =Express the answer by a formula. Recall that the density of water is ? = 1000Kg / m3 and that the gravitational acceleration on the surface of the earth is g = 9.8m / s2.(ii) The work in Joules required to pump this thin layer of water 2 meters above the tank is approximately w (x) ?x. What is w (x)?w (x) =Express the answer by a formula.(iii) Using the previous results, determine, in Joules, the work required to pump all the water 2 m above the tank. Give its numerical value to 3 significant figures.Answer:
