A $6-$in$.-$diameter piston is located within a cylinder which is connected to a $1/2-$in$.$diameter inclined$-$tube manometer as shown in the figure below. The fluid in the cylinder and the manometer is oil $($specific weight $=59l\frac{b}{f}{t}^3)$ When a weight, W $,$ is placed on the top of the cylinder, the fluid level in the manometer tube rises from point $(1)$ to $(2).$ How heavy is the weight? Assume that the change in position of the piston is negligible.

Assume $=30.$

W $=$

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