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Home » L'aire du secteur est \( \frac15 \times 25\pi = 5\pi \). - Crosslake

L'aire du secteur est \( \frac15 \times 25\pi = 5\pi \). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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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...
The hemisphere has radius $ 3r $, so its volume is:
V_{\text{hemisphere}} = \frac{1}{2} \cdot \frac{4}{3}\pi (3r)^3 = \fra...
Now, the ratio of the volume of the nanoparticle to the volume of the...
\frac{V_{\text{sphere}}}{V_{\text{hemisphere}}} = \frac{\frac{4}{3}\pi...
Final answer: $ \boxed{\frac{2}{27}} $
Question: A 5 cm by 8 cm rectangle is inscribed in a circle. What is t...
Using the Pythagorean theorem, the diagonal $ d $ is:

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