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Home » Protoss vs Protoss: The Untold Secrets Behind Their Epic Rivalry! -

Protoss vs Protoss: The Untold Secrets Behind Their Epic Rivalry! -

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 #### 14.50

📌 A cylindrical tank with a radius of 3 meters and height of 10 meters is filled with water. If a solid metal sphere with a radius of 2 meters is submerged, how much water (in cubic meters) will overflow?

📌 Volume of the cylinder: \( V = \pi r^2 h = \pi \times 3^2 \times 10 = 90\pi \) cubic meters.

📌 Volume of the sphere: \( V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 2^3 = \frac{32}{3}\pi \) cubic meters.

📌 Water overflowed is equal to the volume of the sphere: \(\frac{32}{3}\pi \approx 33.51\) cubic meters.

📌 #### 33.51

📌 A rectangle has a length that is 4 times its width. If its perimeter is 90 meters, what is its area?

📌 Let the width be \(w\), then the length is \(4w\).

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