Calculate the capacity of the tank

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The discussion focuses on calculating the capacity of a tank filled to its maximum height, specifically in pounds and gallons. The maximum height is determined to be 19 feet, leading to a volume calculation of approximately 11,980 gallons using the formula for the volume of a cylinder. This volume translates to about 89,622.88 cubic feet, which is then converted to weight, resulting in approximately 627,862.08 pounds. Additionally, the pressure exerted on the bottom of the tank when filled to 8’4” with a hydrocarbon of specific gravity 0.84 is calculated using the weight per cubic foot. The calculations emphasize the importance of unit conversions throughout the process.
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Homework Statement


Calculate the capacity of the tank.Capacity of the tank when filled to its maximum height in pounds and gallons
Maximum height =
Gallons:
Pounds: ______ gallons*8.34 pounds/gallon*.84 = ______ pounds(note the units again)Calculate the pounds/square foot and pounds/square inch pressure on the bottom of the tank when it is 8’4” full of a hydrocarbon with a specific gravity of .84.
Since we have the weight of a cubic foot of the material (8.34 pounds/gallon * 7.481 gallons/cu ft * .84 = 52.41 pounds/cu ft) it is easy to get the pounds/square foot: 52.41 pounds/ft3 * 8.333 ft =____

(Note the units again.)

Homework Equations

The Attempt at a Solution


Maximum height = 95% which = 95 divide by 100 times 20 = 19

Gallons are pie which is 3.1416 times (14.167)2 times 19 = 11980.067

One cubic foot = 7.481 so you take 7.481 times 11980.067 = 89622.88

Pounds would be 89622.88 times 8.34 times .84 = 627862.08
 
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