A tank in the shape of a hemisphere as in the figure below has a radius 7 m and is filled with water to a depth of 5 m. Set up, but DO NOT evaluate, an integral for the amount of work required to pump the water out of the 1 m tall spout. Use the fact that the density of the water is 1000 kg / (m ^ 3) and g approx9.8 m/s^ 2. Make sure to indicate where you placed the origin (e.g., at the bottom of the hemisphere, at the top of the hemisphere, or at the top of the spout) and whether the axis is pointing upward or downward by sketching it next to the hemisphere