A reservoir has the shape of a pyramid with square base, with apex facing down. lts height is 5 m, a side from its base is 3 m and it is lled with water up to 4 m. (i) Let 2 be the height in meters measured from the apex to the base of the reservoir. The weight in Newtons of a thin layer of water between 2 and a: l A: is approximately P (z) A: . What is P (z) ? Pm=l lnl FORMATHNG: Express the answer using a formula. Recall that the density of water is p = 1000 Kgf m3 and the acceleration due to gravity on the earth's surface is gr = 9.8 m/ 32 . (ii) The amount of work in Joules required to pump the thin water layer to the top of the reservoir is approximately 11: (2)143 . What is 'w (z) '2 w(z)=' 'n. FORMATHNG: Express the answer as a formula. (iii) Using previous results, nd. in Joules, the amount of work required to pump all of the water to the top oTthe reservoir. FORMATHNG: it you round your answer, ensure that the round-oft error is less than 1% of the value. Answer Number Joules