A reservoir has the shape of a sphere with radius 4 m. It is filled up to 6 m with water. (i) Let m be the height in meters measured from the base of the reservoir. The weight in Newtons of a thin layer of water between :1: and m + A9: is approximately P (as) Am .What is P (1:) ? PW= EB FORMATTING: Express the answer using a formula. Recall that the density of water is p = 1000 Kg / m3 and the acceleration due to gravity on the earth's surface is g = 9.8 m / s2 . (ii) The work in Joules required to pump the thin water layer to 2 meters above the reservoir is approximately to (3:) Am . What is 'w (:13) ? mm: as FORMATTING: Express the answer using a formula. (iii) Using previous results, find, in Joules, the amount of work required to pump all of the water to 2 m above the reservoir. FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer: Number Joules