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.
A hole. A hole cannot be seen, doesn't weigh anything, but when placed in a barrel it reduces the overall weight by displacing some of the volume of the material the barrel can hold.
Volume (or capacity) describes this.
The amount that something can hold refers to its capacity or volume, which describes the maximum quantity or volume of material it can contain. This can be measured in units such as liters, gallons, or cubic feet, depending on the item being measured.
Different containers can hold different masses, and that depends on the volume of the container and the density of the material.
The greatest amount an object can hold depends on its size and material. Generally, objects can hold as much as their volume allows without breaking or reaching their weight capacity.
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.
Answer: the barrel will hold 9.42 ft³ of water.
A barrel!
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.
The SI unit for the amount of soil a rectangular box can hold is in cubic meters (m³). This unit is commonly used to measure volume, including the volume of soil or any other material that can fill a three-dimensional space.
You dont hold it, besides, you can't
To get the density, just divide the mass by the volume.