2) Below is an artisť's rendition of what the night sky might look like if Jupiter were as close to the earth as our moon is. The diameter of the earth's moon is 2,159 miles. The diameter of Jupiter is 86,881 miles. a) How many of earth's moons could fit across the diameter of Jupiter? Round your answer to the nearest whole number. b) The average distance between earth and its moon is 384,400 kilometers. At their closest point (when both planets are lined up on the same side of the sun), the distance between earth and Jupiter is 588,000,000 kilometers. Using these two distances, and the fact that 1 kilometer = 0.62 miles, how much further away from earth (in miles) is Jupiter than our moon?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 14E
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2) Below is an artist's rendition of what the night sky might look like if Jupiter were as close to the earth as our
moon is.
The diameter of the earth's moon is 2,159 miles. The diameter of Jupiter is 86,881 miles.
a) How many of earth's moons could fit across the diameter of Jupiter? Round your answer to the
nearest whole number.
b) The average distance between earth and its moon is 384,400 kilometers. At their closest point
(when both planets are lined up on the same side of the sun), the distance between earth and Jupiter
is 588,000,000 kilometers. Using these two distances, and the fact that 1 kilometer = 0.62 miles,
how much further away from earth (in miles) is Jupiter than our moon?
Transcribed Image Text:2) Below is an artist's rendition of what the night sky might look like if Jupiter were as close to the earth as our moon is. The diameter of the earth's moon is 2,159 miles. The diameter of Jupiter is 86,881 miles. a) How many of earth's moons could fit across the diameter of Jupiter? Round your answer to the nearest whole number. b) The average distance between earth and its moon is 384,400 kilometers. At their closest point (when both planets are lined up on the same side of the sun), the distance between earth and Jupiter is 588,000,000 kilometers. Using these two distances, and the fact that 1 kilometer = 0.62 miles, how much further away from earth (in miles) is Jupiter than our moon?
c) The tallest building in Columbus, Ohio is the Rhodes State Office Tower at 624 feet. If it were
possible to stretch a whole bunch of Rhodes towers end to end between earth and Jupiter (at its
closest point to earth), how many towers would it take? There are 5,280 feet in one mile, and
1 kilometer = 0.62 miles. Round your answer to the nearest million.
d) It takes Mercury about 88 days to revolve once around the sun. It takes Jupiter about 11.86 years to
revolve once around the sun. How many revolutions does Mercury make around the sun in the time
it takes Jupiter to revolve once around the sun? Use the conversion factor of 1 year = 365 days.
Round your answer to the nearest tenth.
e) Both the earth's moon and Jupiter are essentially spheres. The volume of the moon is approximately
5.3 billion cubic miles. The volume of Jupiter is approximately 343.3 trillion cubic miles. How many of
earth's moons could fit inside Jupiter? Round your answer to the nearest whole number.
Transcribed Image Text:c) The tallest building in Columbus, Ohio is the Rhodes State Office Tower at 624 feet. If it were possible to stretch a whole bunch of Rhodes towers end to end between earth and Jupiter (at its closest point to earth), how many towers would it take? There are 5,280 feet in one mile, and 1 kilometer = 0.62 miles. Round your answer to the nearest million. d) It takes Mercury about 88 days to revolve once around the sun. It takes Jupiter about 11.86 years to revolve once around the sun. How many revolutions does Mercury make around the sun in the time it takes Jupiter to revolve once around the sun? Use the conversion factor of 1 year = 365 days. Round your answer to the nearest tenth. e) Both the earth's moon and Jupiter are essentially spheres. The volume of the moon is approximately 5.3 billion cubic miles. The volume of Jupiter is approximately 343.3 trillion cubic miles. How many of earth's moons could fit inside Jupiter? Round your answer to the nearest whole number.
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