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Different containers can hold different masses, and that depends on the volume of the container and the density of the material.
Answer: the barrel will hold 9.42 ft³ of water.
A cylinder can be made of almost any material and that material will then make up its volume.
A container holds volume.
...will be the product of the material's volume and density.
Volume (or capacity) describes this.
Different containers can hold different masses, and that depends on the volume of the container and the density of the material.
If the sides of the barrel are straight, then those dimensions are equivalent to a volume of 33.407 cubic feet, or 249.9 gallons. -- If the sides are curved, then it's a more complicated problem. -- We'd need to know the thickness of the material of which the barrel is constructed, in order to calculate how much of that volume isn't available as fluid-holding capacity.
One way to measure volume of a material is the following: Put the material in a waterproof container, e.g. a tub. Submerge the material in water, register the water level, take the material out and measure what volume of water you need to add to the tub in order to make the water rise to the level it was with the material in. The volume of water you've added equals the volume of the material.
To get the density, just divide the mass by the volume.
Answer: the barrel will hold 9.42 ft³ of water.
It would depend on the material in that volume. You would have a tiny fraction of a gram of hydrogen gas at normal temperature and pressure, or upto 15 billion tonnes of material from a neutron star (if you could get hold of it!)
The capacity of a barrel is a measure of volume. The SI unit for volume is the cubic metre. A barrel with a volume of one cubic metre would a big barrel. It could be better to measure it in thousandths oh a cubic metre, a thousandth of a cubic metre is called a litre.
A barrel!
You dont hold it, besides, you can't
Determine the volume of the container, then it can hold that volume of the substance.
Use a density factor to make a barrel to ton conversion. The ton is a metric weight and the barrel is a volume measurement.