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Home » WrestleMania Madness Exposed: The Ultimate Must-Watch Event Every Fan Needs - 500apps

WrestleMania Madness Exposed: The Ultimate Must-Watch Event Every Fan Needs - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5Question: A spherical nanoparticle has radius $ r $ units, and a hemispherical drug carrier has radius $ 3r $ units. What is the ratio of the volume of the nanoparticle to the volume of the carrier?

📌 The volume of a sphere is given by $ \frac{4}{3}\pi r^3 $.

📌 So, the volume of the nanoparticle (radius $ r $) is:

📌 The volume of a hemisphere is half the volume of a sphere of the same radius.

📌 The hemisphere has radius $ 3r $, so its volume is:

📌 V_{\text{hemisphere}} = \frac{1}{2} \cdot \frac{4}{3}\pi (3r)^3 = \frac{2}{3}\pi \cdot 27r^3 = 18\pi r^3

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