2nd Course Calculus Force Problem:
A cubical metal tank has a parabolic gate bolted at the bottom of one lateral face. The gate is 2 feet across the top and 1 foot in height. The liquid stored in the tank has a density of 50 lb/ft^3. Assign a coordinate system to the parabola and find the exact fluid force on the gate when the liquid is 2 feet deep in the tank.
THEN - The bolts on the gate are designed to withstand a fluid force of 160lbs without rupturing. What is the maximum height to which the container can be filled without exceeding its design limit?

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5 ft.

xD It's alright. I attached a screenshot of the formula I used from my textbook, if that helps...

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