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Home » We are given the quadratic expression: - ToelettAPP

We are given the quadratic expression: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, the area of the square is \(\boxed{50}\).

📌 Question:** A cylinder has a height equal to twice its radius. If the total surface area of the cylinder is \(54\pi\) square units, find the radius of the cylinder.

📌 Let the radius of the cylinder be \(r\). The height \(h\) is given as \(2r\). The total surface area \(S\) of the cylinder is given by:

📌 S = 2\pi r^2 + 2\pi rh

📌 Substituting \(h = 2r\), we have:

📌 S = 2\pi r^2 + 2\pi r(2r) = 2\pi r^2 + 4\pi r^2 = 6\pi r^2

📌 We know that \(S = 54\pi\), so:

📌 6\pi r^2 = 54\pi

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