A tank has the shape of a sphere with a radius of 5 m. It is...

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 + Δx is approximately P (x) Δx. What is P (x)?
P (x) =
Express the answer by a formula. Recall that the density of water is ρ = 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) Δx. 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:

Expert Solution

milcah answered 2 years ago

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