Science; physics question from a mathematically challenged person?

Science; physics question from a mathematically challenged person. What is the smallest (height and diameter) tank that will hold 5 cubic feet of helium? Asked by Judi 43 months ago Similar questions: science physics question mathematically challenged person Science > Physics.

Similar questions: science physics question mathematically challenged person.

Pi r squared h tells you how many cubic inches are in an inch of a cylinder if r (radius) is in inches. A 12 inch diameter tank would be Pi (3.1416) times 6X6, or 36 which equals 113.09 cubic inches per inch of height. Five cubic feet would be 12X12X12X5 = 8640 cubic inches.8640 divided by 113.09 = 76.4 inches long, or 6.34 feet WAIT!

I've been tricked! Five cubic feet of helium at sea level could fit into a very small vial at close to absolute zero. I say a tube one millimeter in diameter and five millimeters long.

Actually, that is a guess because I couldn't find anything to tell me the volumetric relationship between helium at absolute zero and at standard temperature and pressure.

You can make them as small as you want. The formula for the volume of a cylinder is: V=? R2h You can make the diameter as close to nothing as you like, as long as it's very tall.

And you can make it as short as you want, with a really big diameter. If you're seeing to minimize the surface area, you don't want a cylinder at all. You want a sphere.

The smallest amount of metal you can get to hold 5 cubic feet of helium would be a sphere about 1 foot in diameter. (12.73 inches, if I've done the math right). It has a surface area of 14 square feet.

If you insist on it being a cylinder, the cylinder with a minimum area that holds 5 cubic feet is .9 feet tall and 2 feet high. It has a surface area of 16.2 square feet.

Helium is a gas a pressures and temperature found on Earth, and so can compress very well. Any container built to hold helium under pressure will be able to hold enough to fill 5 cubic feet at normal pressure. The smallest tank will be able to hold much more helium than that.

Helium is a very diffuse gas and it can compress down very efficiently. Without specific pressures and temperatures, I can't give you a specific diameter and height for a cylindrical container. Even then, the height and diameter can vary among tanks with the same volume.As one increases, the other can decrease to maintain the same volume.

I hope this helps.

1 The terms "height" and "diameter" do not make sense here. Diameter is the distance from one point on a sphere, all the way through the exact center, to the exact opposite of the sphere. Height is one of the three dimensions of a polyhedron (a cube for example).

The tank is either spherical (in which case, diameter applies) or non-spherical (in which case, height applies, but must be combined with length and width).

The terms "height" and "diameter" do not make sense here. Diameter is the distance from one point on a sphere, all the way through the exact center, to the exact opposite of the sphere. Height is one of the three dimensions of a polyhedron (a cube for example).

The tank is either spherical (in which case, diameter applies) or non-spherical (in which case, height applies, but must be combined with length and width).

Judi replied to post #1: 2 I told you I was challenged! I am trying to find the smallest possible tank that will fill my balloon.

I told you I was challenged! I am trying to find the smallest possible tank that will fill my balloon.

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