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Home » A sphere has a surface area of 314 square centimeters. Find the radius of the sphere. - Crankk.io

A sphere has a surface area of 314 square centimeters. Find the radius of the sphere. - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Plug in the given values:

📌 Solving for \( r \):

📌 The formula for the sum of the first \( n \) natural numbers is:

📌 S = \frac{n(n + 1)}{2}

📌 Set the sum equal to 210:

📌 Solve the quadratic equation:

📌 Factor the equation:

📌 n = 20 \quad \text{(since \( n \) must be positive)}

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