An open container $8 \mathrm{in}$. high with an inside diameter of $4 \mathrm{in}$. weighs $5 \mathrm{lb}_{\mathrm{f}}$ when empty. The container is placed on a scale and water flows into the top of the container through a $1 \mathrm{in}$. diameter tube at a rate of $40 \mathrm{gpm}$. The water flows horizontally out into the atmosphere through two 1/2 in. holes on opposite sides of the container. Under steady conditions, the height of the water in the tank is 7 in.

(a) Determine the reading on the scale.

(b) Determine how far the holes in the sides of the container should be from the bottom so that the level in the container will be constant.