What are the units of volume? Suppose another student tells you that a cylinder of radius ?r ?and height ?h? has volume given by ??r?3?h?. Explain why this cannot be right.

Solution 10DQ Any unit of length will given corresponding unit of volume,volume of a cube whose side has given length.volume units are distance cubed:m .units of r h would be m . 4 The units of volume is cubic meters if SI units are being considered.the reason that the volume of cylinder would not be right is because the unit would be meter to the fourth power. Example: A cm would be the volume of a cube whose sides are 1 cm in length.in SI system,the 3 standard unit of length is m . The metric system also includes the litre(L) as a unit of volume. 3 where 1 L = 10 cm . 3 thus,1 litre = (10 cm) = 1000 cubic centimeters 1 cubic meter = 1000 Litre. The expression r h yields a quantity with units of length raised to the 4th power,hence cannot represent a volume. Ex: r = 1mand h = 2m,then r h = (1m)(1m)(1m)(2m) = 2 m 4