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Home » Donc, \(x - 2 = 0\) ou \(x - 3 = 0\) - Nelissen Grade advocaten

Donc, \(x - 2 = 0\) ou \(x - 3 = 0\) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Altitude to hypotenuse (15): $\frac{108}{15} = 7.2$

📌 Altitude to 12: $\frac{108}{12} = 9$

📌 Altitude to 9: $\frac{108}{9} = 12$

📌 The shortest altitude is $\boxed{7.2}$.

📌 Question: A micropaleontologist studies a microfossil shaped like a hemisphere with radius $3x$ and a spherical fossil with radius $x$. What is the ratio of their volumes?

📌 Solution: Volume of hemisphere: $\frac{2}{3}\pi (3x)^3 = \frac{2}{3}\pi \cdot 27x^3 = 18\pi x^3$.

📌 Volume of sphere: $\frac{4}{3}\pi x^3$.

📌 Ratio: $\frac{18\pi x^3}{\frac{4}{3}\pi x^3} = \frac{18}{\frac{4}{3}} = \frac{54}{4} = \frac{27}{2}$. $\boxed{\dfrac{27}{2}}$**Question:

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