Mathematics: Need with a problem. for some reason i can not seem to get it correct. thinking my formula is wrong. here s the problem: assume that there are approximately 140x10^9 stars in our galaxy. our galaxy is 50,000 light years from the center to the edge, but just 1,000 light years thick. it s shaped like a thin disk or cylinder. if the stars were distributed equally throughout the galaxy, how many stars would you expect to find in one cubic light year? i thought it would be pi*r^2*l. then divide that

Need with a problem. for some reason i can not seem

Ответ:

lydia309

31.12.2021

$r=50,000\text{ ly}=5\cdot10^4\text{ ly}\\
h=1,000 \text{ ly}=10^{3}\text{ ly}\\ V=\pi r^2h\\\\ V=\pi \cdot(5\cdot10^4)^2\cdot10^3\\
V=\pi \cdot25 \cdot10^8 \cdot10^3\\ V=2.5\pi\cdot10^{12} \text{ ly}^3\\\\
\dfrac{140\cdot10^9}{2.5\pi\cdot10^{12}}=\\
\dfrac{1.4\cdot10^{11}}{2.5\pi\cdot10^{12}}=\\
0.56\pi\cdot10^{-1}=\\
5.6\pi\cdot10^{-2}\approx1.76\cdot10^{-1}
$

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heinslice3

20.07.2022

Mathematics

10,000 mor. Hihowareyou

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