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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 We know that \(S = 54\pi\), so:

📌 6\pi r^2 = 54\pi

📌 Dividing both sides by \(6\pi\), we get:

📌 Taking the square root of both sides, we find:

📌 Thus, the radius of the cylinder is \(\boxed{3}\).

📌 Question:** A cone has a slant height of \(10\) units and a base radius of \(6\) units. Calculate the lateral surface area of the cone.

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