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Home » The Future is Here—Discover the Game-Changing Features of the Latest Xbox Console! - 500apps

The Future is Here—Discover the Game-Changing Features of the Latest Xbox Console! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \[ \frac{4\pi}{24} = \frac{\pi}{6} \]

📌 \(\boxed{\frac{\pi}{6}}\)

📌 Question:** A virologist models a viral capsid as a sphere with radius \(3\) nm. Nearby, a cylindrical nanoparticle with height \(6\) nm and base radius \(2\) nm is used in therapy. What is the ratio of the volume of the sphere to the volume of the cylinder?

📌 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:

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