please refer to photo attached

1 m 2 m 4 m 1 m A reservoir has the shape of a truncated cone as shown in the figure above. It measures 4 m high. The radius of the base is 1 m and the top radius is 2 m. It is filled with water. We want to calculate the amount of work required to pump all of its water through the hose standing 1 m above the reservoir. (i) Let x be the height in metres measured from the base of the reservoir. The weight of a thin water layer between heights x and x + Ax is approximately P (a) 4x . What is P (ac) ? P () = FORMATTING: Express the answer as a function of a. Recall that the density of water is p = 1000 Kg / m and the acceleration due to gravity on the earth's surface is g = 9.8 m / s (ii) The work in Joules required to pump the thin water layer to 1 m above the reservoir is approximately w (a) Ax . What is w (x) ? w (a ) = FORMATTING: Express the answer as a formula. (iii) Using previous results, determine the amount of work required to pump all of the water to 1 m above the reservoir. FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Work ~ Number Joules