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z = 90^\circ, 270^\circ. - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ \text{Area of circle} = \pi r^2 = \pi \times 2^2 = 4\pi \]

📌 The ratio of the area of the circle to the area of the triangle is:

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

📌 \(\boxed{\frac{\pi}{6}}\)

📌 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:

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