A full water tank in the shape of a hemispherical bowl of radius 7 In. How much work is required to pump all the water to a height of 5 m above the tank? (The density of water is 1000 kg/m3). (Use symbolic notation and fractions where needed.) Here is one **possible** orientation: First, follow the next steps 0 Choose the position of the x-axis; 0 Determine the weight of the ith layer; 0 Determine the distance the ith layer lifts. Then use the formula b / pgA(x)(h x) dx where p is the density of the liquid, 3' is the acceleration due to gravity, and the liquid to be lifted lls the container from x = a to x = b