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* 69%- 2:44 PM a instructure-uploads.s3.amazonaws.com Sprint 2. Universal grains

ID: 153111 • Letter: #

Question

* 69%- 2:44 PM a instructure-uploads.s3.amazonaws.com Sprint 2. Universal grains of sand. Answer the following questions that use the amount of sand on earth as a comparison for the number of stars in the universe. a) Grains of sand are very small-about 2300 grains fit in one cubic centimeter (cm). Given that there are one million cubic centimeters (cm) in one cubic meter (m), how many grains are there in 1 m of sand? (3 pts) b) If you counted one grain of sand cach second, how many seconds would it take you to count all the grains in one meter? (3 pts) cubic c) Using (b), calculate how many years would it take to count all the grains of sand in one cubic meter? (3 pts) d) There are roughly 200,000 km of beaches in the world. How many meters is this? (3 pts) e) We now want to calculate the total volume of sand on all the world's beaches. Use the length of beach from part (d), say that the average width of a beach is 15 meters, and that the average depth of sand is 1.3 meters. What is the total volume of sand, in m, of all the world's beaches? (3 pts) f) Using parts (a) and (e), estimate how many grains of sand there are on all the beaches of the world. (3 pts) g) Ok, now stars. There are approximately 100 billion (10) stars in a typical galaxy, and there are about 100 billion galaxies in the universe. How many stars are there in the universe? (3 pts) h) Divide the number of stars by the number of grains of sand to compare how many times more stars there are than grains of sand. (3 pts)

Explanation / Answer

1.1 cm3=2300 grains

1 m3=106cm3

Toal number of grains =2300*106=23*109

2. 1 grain =1 second

23*109  grain=23*109 second

3.

1 year =365days*24 hour*60 min *90seonds

total year will be=23*109 second/31536000(1year)

=329 year

4. 1 km=1000 meter

20 km=20*1000

20000 meter.