Substitute $ s = 6 $:
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- The volume ratio is $ \boxed{\frac{1}{64}} $.
- Question: A bioinformatician is analyzing a molecular structure shaped like a regular hexagon with side length 6 cm. What is the area of the hexagon?
- Solution: The area $ A $ of a regular hexagon with side length $ s $ is:
- A = \frac{3\sqrt{3}}{2} \cdot 36 = 54\sqrt{3}
- The area is $ \boxed{54\sqrt{3}} $ cm².
- Question: An ichthyologist models a fish's field of vision as a sector of a circle with radius 12 m and central angle $ 60^\circ $. What is the area of this visual sector?
