This web site shows how to find the area of the cross-section. Using that, the volume is 40*area. The weight is density * volume.
Then you can either integrate to find the work, or just see how high the center of mass has to be lifted, and work = weight * distance.
A certain cylindrical tank holds 20,000 gallons of water, which can be drained from the bottom of the tank in 20 minutes. The volume V of water remaining in the tank after t minutes is given by the function V(t) = 20,000(1- t/20)^2, where V is in gallons,
A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported 8.75 m above the ground by a stand. The water level in the tank is 10.6 m deep. The density of the water in the tank is 1.00 g/cm3. A very small hole is formed at the base of
A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at rate of 4 gallons per minute. As the second solution is being added, the tank is being drained at
A school water tank is in the shape of a frustum of a cone. The height of the tank is 7.2 m and the top and bottom radii are 6m and 12 m respectively. (a) Calculate the area of the curved surface of the tank, correct to 2 decimal places. (b) Find the
A 500-litre water storage tank is situated at the top of a building at a height of 300 feet.The tank,which is completely full,has two outlet pipes and one inlet pipe.Veeru climbs up to the tank and opens an outlet which can empty a full tank in 10 minutes.
A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet deep. I got 81/200pi ft/min.
1. Water is draining from a tank at a constant rate. After 3 minutes, the tank contains 1557 gallons. After 10 minutes, the tank contains 1494 gallons. (a) Find a linear equation that gives the amount of water in the tank, G(x), after x minutes have
A rectangular water tank is supported above the ground by four pillars 5.0 m long whose diameters are 20 cm. If the tank were made 10 times longer, wider, and deeper, what diameter pillars would be needed? How much more water would the tank hold?
Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled
Water flows from the bottom of a storage tank at a rate of r(t) = 400 − 8t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 45 minutes.
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