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The volume of a cylinder (with a radius of r and a length L ) in the horizontal position filled to a depth (d) can be calculated with the following formula:

L((r2)*(arcos((r-d)/r)) - (r-d)*sqrt(2rd-d2))


Note: Calculator must be set to work in radians as opposed to degrees

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14y ago
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14y ago

For a cylinder, Volume = Area x Depth. Rule: Do not mix increments of measure ( eg. if measuring inches, convert all measurements to inches).

Footnote

The above is true for the volume of any right cylinder. But if the cylinder is horizontal and the depth is considered to be parallel to a radius, then the answer would be different.

The mathematics underlying the volume-depth relationship for a horizontal cylinder (with plane or domed ends), plus several other shapes, is given in

http://pkukmweb.ukm.my/~jsm/pdf_files/SM-PDF-39-1-2010/16.pdf

The computer program used to produce the illustrations in this article may be downloaded from

http://pyweb.swan.ac.uk/~evans/software.htm

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15y ago

Take the diameter of the base, (D) multiply it by pi, (3.14) and then multiply that by the height of the cylinder (H). Assuming a cylinder of uniform cross-sectional area, the formula is cross-sectional area x vertical height of liquid column If a circular cylinder, then (pi) x (square of radius) x (vertical height of liquid column).

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14y ago

The volume of a cylinder (with a radius of r and a length l ) in the horizontal position filled to a depth (d) can be calculated with the following formula:

L((r2)*(arcos((r-d)/r)) - (r-d)*sqrt(2rd-d2))


Note: Calculator must be set to work in radians as opposed to degrees

This answer is:
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14y ago

The volume of a cylinder (with a radius of r and a length l ) in the horizontal position filled to a depth (d) can be calculated with the following formula:

L(r2*(arcos((r-d)/r)) - (r-d)*sqrt(2rd-d2))


Note: Calculator must be set to work in radians as opposed to degrees

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Q: If you know level of fluid in horizontal cylinder how calculate fluid volume?
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Can energy as work be transferred to an incompressible fluid contained in an insulated cylinder fitted with a frictionless piston?

no, because there will be no change in volume


What is the method used to find the volume of an irregular object using a graduated cylinder?

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How do you find the volume of an irregular object such as a rock?

Use the Archimedes' method, fill a container with water (right to the top) with a spill tray underneath to catch the water over flow, drop the rock in and measure the amount of water displaced. This method will be about as accurate as you can get.


What is the relationship between density and volume and buoyancy?

Density = mass / volume. An object will float if it has less density than the fluid in which it is placed. The buoyant force is equal to the volume (this may be the submerged part of the volume) times the density of the displaced fluid.


How does Archimedes principle relate the buoyant force acting on an object and the volume of the fluid displaced by the object?

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Related questions

How do you calculate fluid height in a horizontal cylinder if I know how many gal of liquid I am going to be putting in and how many gallons the cylinder will hold if filled full?

You need more information. It all depends on the size of the cylinder


A certain fluid at 10 bar is contained in a cylinder behind a pistion the initial volume being oo5m3 calculate the work done by the fluid when it expands reversibaly according to a final V equals 0.1?

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When reading the volume of fluid in a graduated cylinder the eye should be .?

Level with the bottom of the fluid's meniscus


How does the Cylinder work?

A graduated cylinder is simply a beaker with parallel sides and equally spaced volume markings along the side. As the sides are parallel the volume increases proportionately to the level of fluid in the beaker. Equally spaced markings ("graduations") are marked on the side of the cylinder to indicate the volume of fluid to that point.If you are using a graduated cylinder you will notice that the level of fluid (eg water) will seem to cling to the sides of the glass near the edge in a small radius due to the surface tension of the fluid. This radius is called the miniscus. Always read the volume of fluid from the marking at the bottom of the miniscus.


How does the graduated cylinder work?

A graduated cylinder is simply a beaker with parallel sides and equally spaced volume markings along the side. As the sides are parallel the volume increases proportionately to the level of fluid in the beaker. Equally spaced markings ("graduations") are marked on the side of the cylinder to indicate the volume of fluid to that point.If you are using a graduated cylinder you will notice that the level of fluid (eg water) will seem to cling to the sides of the glass near the edge in a small radius due to the surface tension of the fluid. This radius is called the miniscus. Always read the volume of fluid from the marking at the bottom of the miniscus.


What do you call half of a cylinder?

Check out "horizontal cylindric segment" in Wolfram Alpha Online. That is the correct term for the solid you are looking for. Wolfram Alpha - "The solid cut from a horizontal cylinder of length L and radius R by a single plane oriented parallel to the cylinder's axis of symmetry (i.e., a portion of a horizontal cylindrical tank which is partially filled with fluid) is called a horizontal cylindrical segment."


What Equation you would use to figure out the volume of liquid?

It depends on what information you have. If the liquid is stored in a container of which the dimensions are known, then you must calculate the volume of the container. You can simply search google for the formulae for the volume of a cube, cylinder, sphere etc. If the dimensions are not known, but the weight and density of the fluid is, then the volume can be calculated as: volume = weight (divided by) density


How do you calculate fluid volume in a cylindrical container?

Capacity of the container = (pi) x (radius of the round end)2 x (height of the cylinder). That's the capacity of the container. If the volume of the fluid in it is really what you want, then you can use the same formula, but instead of the full height of the container, use only the height of the fluid column, i.e. what we professionals would technically refer to as the "depth".


What do you call the shape that's half a cylinder?

Check out "horizontal cylindric segment" in Wolfram Alpha Online. That is the correct term for the solid you are looking for. Wolfram Alpha - "The solid cut from a horizontal cylinder of length L and radius R by a single plane oriented parallel to the cylinder's axis of symmetry (i.e., a portion of a horizontal cylindrical tank which is partially filled with fluid) is called a horizontal cylindrical segment."


How do you calculate cubic volume of a cylinder at different levels?

The solution is easy for a vertical 'cylinder' (i.e. a cylinder with its faces at right angles to the direction of gravity, like barrel standing on a horizontal surface. In this case the volume is given by: V=h*(1/2)*pi*(r^2) Where V=Volume, h is the height to which the cylinder is filled, pi is the number Pi (3.142) and r is the radius of the cylinders faces. If the cylinder is vertical (i.e. a barral lying on the gound so that it could easily be rolled away) it gets a bit more tricky: V=l*(pi*r^2/2-r^2*arcsin(1-h/r)-(r-h)*sqrt(h*(2r-h)) Where l is the length of the cylinder. Note: h is always measured from the lowest point of the fluid contained in the cylinder to the the fluid's surface arcsin is the inverse of sin sqrt denotes the squareroot of the following bracket Good luck! felixmschubert@yahoo.de


What is the volume of the fluid in the graduated cylinder with accuracy and measured to the correct degree of precision 41.2mL?

It is 41.2 millilitres!


What is the volume of the fluid in this graduated cylinder measured to the correct degree of precision?

You're going to have to be more specific.