Volume formula for a cylinder: \( V = \pi r^2 h \).


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Orbital radius = 6371 + 400 = 6771 km.
Orbital period = 90 minutes = 1.5 hours.
A science journalist analyzes telescope data showing a stars brightness fluctuates with a period of 3.5 days. If peak brightness is 1200 units, and it decreases exponentially by 20% per day until the next peak, what is the brightness 5 days after a peak?
A volcanologist monitors ground deformation using GPS, observing uplift increasing from 0.8 cm to 5.4 cm over 12 days. Assuming exponential growth, what is the daily growth rate (as a percentage)?
A science journalist reports on a Mars rover traveling across a flat plain. It moves 300 meters in the first hour, then 90% of the previous hours distance each hour. How far does it travel in total if this continues indefinitely?