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.
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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
Textbook: University Physics
Author: Hugh D. Young, Roger A. Freedman
This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: Volume, radius, cylinder, explain, given. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 10DQ from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “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.” is broken down into a number of easy to follow steps, and 31 words. Since the solution to 10DQ from 1 chapter was answered, more than 282 students have viewed the full step-by-step answer.