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Home » The Hidden Power of ‘Thought’ Thoughts You Never Knew Exist! - Crankk.io

The Hidden Power of ‘Thought’ Thoughts You Never Knew Exist! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 s = \frac{10}{\sqrt{2}} = 5\sqrt{2} \text{ μm}

📌 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:

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