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Home » A_\texttriangle = \frac\sqrt34 s^2 = \frac\sqrt34 \cdot 16 = 4\sqrt3 \text cm^2 - Dachbleche24

A_\texttriangle = \frac\sqrt34 s^2 = \frac\sqrt34 \cdot 16 = 4\sqrt3 \text cm^2 - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The area outside the square but inside the circle is:

📌 25\pi - 50 = 25(\pi - 2) \text{ μm}^2

📌 Thus, the region's area is $ \boxed{25(\pi - 2)} $.

📌 Question: A sustainable energy facility uses a cylindrical battery casing with radius $ 2x $ and height $ 5x $. A spherical capacitor of radius $ 3x $ is placed inside. What is the ratio of the volume of the spherical capacitor to the volume of the cylindrical casing?

📌 Solution: Volume of the sphere:

📌 \frac{4}{3}\pi (3x)^3 = \frac{4}{3}\pi (27x^3) = 36\pi x^3

📌 Volume of the cylinder:

📌 \pi (2x)^2 (5x) = \pi (4x^2)(5x) = 20\pi x^3

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