Question

A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P (z) = and z s 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 9 9.8 m/s2 (l) The amount of work in Joules required to pump the thin water layer to the top of the reservoir is approximately w (a) A w (z) = What is w () Express the answer as a formula (ii) Using previous results, find, in Joules, the amount of work required to pump all of the water to the top of the reservoir. Give the numerical value with 3 significant digits Answer: Number Joules

Answer 1

The step by step solution to the above problem is provided in the attached image file

The Pyramid with sauuare bo)e- height = 2m (given * tis illed with wat upto Im rM 2 m 2 m NDW, ivn sími lar 4riangler he get 3 3 CA Now, the weight ©f a thin layer 9 m3 37 9- 8 mfs2 p(x) 22) 0 507( =

Now the amount Tf wo to þumb a thin (ayux -R water-lo, the toA tobamp auof the water to the to he re SeyvDIY is give n by Total, work done = | WC%) 22,05 D 2205 D 4 = 22,050 3 - 22 0503- 3 1 2. 918S Joule 9.1875 X 103 Jo Total WorK d ne