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Home » Number of doubling periods = 15 / 3 = 5. - ECD Germany

Number of doubling periods = 15 / 3 = 5. - ECD Germany

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 5Question: A marine safety consultant plans to coat a cylindrical oil containment drum with a hemispherical dome on top. If the cylinder has a radius of $ x $ units and a height of $ 3x $ units, what is the total surface area of the structure, excluding the bottom base of the cylinder? Express your answer in terms of $ \pi $ and $ x $.

📌 To find the total surface area excluding the bottom base of the cylinder, we calculate the lateral surface area of the cylinder and the surface area of the hemispherical dome.

📌 The lateral surface area of a cylinder is given by:

📌 A_{\text{cylinder}} = 2\pi r h = 2\pi x \cdot 3x = 6\pi x^2

📌 The surface area of a hemisphere (excluding the circular base) is:

📌 A_{\text{hemisphere}} = 2\pi r^2 = 2\pi x^2

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