# Chapter02 questions answers - 1 2 A Sense of Scale practice...

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2 A Sense of Scale practice with calculations: the volume-of-a-sphere equation 3 R 3 4 V π = 1. What is the volume of the Sun in comparison to the volume of Earth? Assume both objects are perfectly spherical and that the radii are R sun = 700,000 km and R earth = 6400 km. Assume two digits of numerical accuracy in the values of both radii; ex- press your final answer in scientific notation with the correct level of accuracy. 6 3 3 3 3 earth 3 sun 3 earth 3 sun earth sun 10 3 . 1 000 , 300 , 1 ) 4 . 109 ( 400 , 6 000 , 700 R R R 3 4 R 3 4 V V × = = = = = = = km km R R earth sun π π 2. What is the volume of the Moon in comparison to the volume of Earth? Assume both objects are perfectly spherical and that the radii are R moon = 1740 km and R earth = 6380 km. Assume three digits of numerical accuracy in the values of both radii; express your final answer in scientific notation with the correct level of accuracy. 2 3 3 3 3 earth 3 moon 3 earth 3 moon earth moon 10 03 . 2 3 . 49 1 0203 . 0 ) 2727 . 0 ( 380 , 6 740 , 1 R R R 3 4 R 3 4 V V - × = = = = = = = = km km R R earth moon π π 1

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3. If Star A has a volume that is eight times greater than the volume of Star B, what is the radius of Star A in comparison to Star B? B A B A B A B A R R or R R R R R R 2 2 : equation the of sides both of root cube the take 2 8 R 3 4 R 3 4 8 1 8 V V 3 3 3 3 B 3 A B A =
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• Fall '10
• STASSUN
• Astronomy, Astronomical unit, rEarth

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