Earth is approximately a sphere of radius \(6.37 \times 10^6 \ \mathrm{m}\). What are (a) its circumference in kilometers, (b) its surface area in square kilometers, and (c) its volume in cubic kilometers?
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Textbook Solutions for Fundamentals of Physics
Question
You can easily convert common units and measures electronically, but you still should be able to use a conversion table, such as those in Appendix D. Table 1-6 is part of a conversion table for a system of volume measures once common in Spain; a volume of 1 fanega is equivalent to \(55.501 \ \mathrm{dm}^{3}\) (cubic decimeters). To complete the table, what numbers (to three significant figures) should be entered in
(a) the cahiz column,
(b) the fanega column,
(c) the cuartilla column, and
(d) the almude column, starting with the top blank? Express 7.00 almudes in
(e) medios,
(f) cahizes, and
(g) cubic centimeters (\(\mathrm{cm}^{3}\) ).
Solution
The first step in solving 1.1 problem number trying to solve the problem we have to refer to the textbook question: You can easily convert common units and measures electronically, but you still should be able to use a conversion table, such as those in Appendix D. Table 1-6 is part of a conversion table for a system of volume measures once common in Spain; a volume of 1 fanega is equivalent to \(55.501 \ \mathrm{dm}^{3}\) (cubic decimeters). To complete the table, what numbers (to three significant figures) should be entered in(a) the cahiz column,(b) the fanega column,(c) the cuartilla column, and(d) the almude column, starting with the top blank? Express 7.00 almudes in(e) medios,(f) cahizes, and(g) cubic centimeters (\(\mathrm{cm}^{3}\) ).
From the textbook chapter Measuring Things, Including Lengths you will find a few key concepts needed to solve this.
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