A water tank has the shape of an inverted square pyramid (vertex pointed down, see diagram) The water tank is 4ft high and the top of the lank is a square measuring 21 on a side. The tank is completely full. In this question, you will set up an integral whose value is the work required to pump all of the water out of the tank through an outlet which is level with the top of the tank. The diagram below may be useful V We will start by slicing the water in the tank horizontally into " slices with thickness Ay The volume of the i-th slice is approximated as a box of water with height Ay 028 Write down the volume of the i-th slice of water, , in terms of , and Ay See the diagram for the definition of 34 02b What is the ratio of #1 to y ? 020 Write down the volume of the i-th slice of water, V,, in terms of y and Ay. 020 Using p - 62.5 lbs per cubic foot as the density of water, write down the veg -th s ce of water in terms of y; and Ay Write down an expres the distance