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500 / (16 x 12) = ~2.604 gallons/inch

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Q: How many barrels per inch of height in a 500 barrel tank that is sixteen foot tall by fifteen foot six inch's a round?
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An object with a mass of fifteen kilograms is dropped from a building neglecting friction which is the buildings height?

It's not possible to calculate the answer with the information given.An object with a mass of 15 kg can be dropped from a building of any height.


How much pounds are one barrel?

If you filled a British Beer Barrel with water, it would weigh 163kg, or 359lb. If you have a barrel that you want to know the volume of, then we need to know the height, the radius of the widest part, and the raduis of the top. For other barrel sizes, look at en.wikipedia.org/wiki/Barrel_(unit)


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What is the surface area of this cylinder the has a radius of eight inches and a height of fifteen inches?

This cylinder has a total surface area of ≈ 1,156.11 square inches.


What is the height of a barrel that holds 868.87 cubic feet of water with a diameter of 6 feet and a hemisphere on top?

The radius of the barrel, r = 3 feet. Suppose the cylindrical part of the barrel has a height of h feet.Then volume of cylindrical part = pi*r2*h cu ftand volume of hemisphere = 2/3*pi*r3 cu ftSo total volume = pi*r2*(h + 2r/3) = 868.87that is, pi*9*(h + 2) = 868.87h + 2 = 30.73 so that h = 28.73Therefore, the total height of the barrel, including the hemispheric top is28.73 + 3 = 31.73 feet.More a silo than a barrel, but that's another matter.The radius of the barrel, r = 3 feet. Suppose the cylindrical part of the barrel has a height of h feet.Then volume of cylindrical part = pi*r2*h cu ftand volume of hemisphere = 2/3*pi*r3 cu ftSo total volume = pi*r2*(h + 2r/3) = 868.87that is, pi*9*(h + 2) = 868.87h + 2 = 30.73 so that h = 28.73Therefore, the total height of the barrel, including the hemispheric top is28.73 + 3 = 31.73 feet.More a silo than a barrel, but that's another matter.The radius of the barrel, r = 3 feet. Suppose the cylindrical part of the barrel has a height of h feet.Then volume of cylindrical part = pi*r2*h cu ftand volume of hemisphere = 2/3*pi*r3 cu ftSo total volume = pi*r2*(h + 2r/3) = 868.87that is, pi*9*(h + 2) = 868.87h + 2 = 30.73 so that h = 28.73Therefore, the total height of the barrel, including the hemispheric top is28.73 + 3 = 31.73 feet.More a silo than a barrel, but that's another matter.The radius of the barrel, r = 3 feet. Suppose the cylindrical part of the barrel has a height of h feet.Then volume of cylindrical part = pi*r2*h cu ftand volume of hemisphere = 2/3*pi*r3 cu ftSo total volume = pi*r2*(h + 2r/3) = 868.87that is, pi*9*(h + 2) = 868.87h + 2 = 30.73 so that h = 28.73Therefore, the total height of the barrel, including the hemispheric top is28.73 + 3 = 31.73 feet.More a silo than a barrel, but that's another matter.

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The Formula can be easily derived by taking a look at the volume of a right cylinder.Since a cylinder's V=pi*radius''*height, then a barrels would equal volume = h * Pi * (2r12 + r22) / 3 because of the middle base and the top and bottom bases.


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