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a very old man with an enormous wings - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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The volume \(V_s\) of the sphere is given by:
\[ V_s = \frac{4}{3}\pi r^3 \]
where \(r = 3\) nm:
\[ V_s = \frac{4}{3}\pi (3)^3 = \frac{4}{3}\pi \times 27 = 36\pi \]
The volume \(V_c\) of the cylinder is given by:
\[ V_c = \pi r^2 h \]
where \(r = 2\) nm and \(h = 6\) nm:
\[ V_c = \pi (2)^2 \times 6 = \pi \times 4 \times 6 = 24\pi \]
\[ \frac{V_s}{V_c} = \frac{36\pi}{24\pi} = \frac{36}{24} = \frac{3}{2}...
\(\boxed{\frac{3}{2}}\)

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