yes it is,it is derived by cubing the fundamental unit of length
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It is a measure of mass per unit volume and is derived using measures of mass and lengths in three orthogonal dimensions.
It is called a base quantity.However, the distinction between a base quantity and a derived quantity is often not clear. For example, the second and metre are meant to be the base units for time and length. But the metre itself is defined in terms of the distance travelled by light, through vacuum, in 1/299,792,458 of a second. Consequently, a metre itself can be considered a derived unit.
An area, in its simplest form is derived by multiplying together two lots of the basic quantities - lengths.
You cannot convert cm3 to moles. They do not measure the same quantity. Cubic centimeters measure volume (the amount of space an object takes up) and moles measure the amount of a substance. The mole is one of the seven fundamental SI units, whereas cubic centimeters is a derived unit.
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.