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Astronomy: Binoculars, for fun and profit (Posted on 2018-06-29) Difficulty: 4 of 5

True story: In a tough astronomy Oral Exam, my grinning professors posed this problem:
"How would you determine the density of Jupiter using only a pair of binoculars? Assume you don't know the planet's distance."
"Umm..." But, to my surprise, I figured it out.

Once outside the exam room, I boasted of my accomplishment to my friend Rico. "Impossible!" he proclaimed. I bet him 10$ and won. How did I do it?

See The Solution Submitted by Steven Lord    
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re: Hint | Comment 3 of 10 |
(In reply to Hint by Steven Lord)

I see I used pi*r^3 / 3 for the volume of the sphere instead of 4*pi*r^3 / 3. I'll try to follow this through later when I have more time.
  Posted by Charlie on 2018-07-05 15:55:18

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