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is 13 too young for two boys to experiment together - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question:** A cylinder has a height equal to twice its radius. If the height is increased by 50% and the radius is decreased by 20%, what is the ratio of the new volume to the original volume?

📌 Let the original radius be \( r \), so the original height is \( h = 2r \).

📌 Original volume:

📌 V_1 = \pi r^2 h = \pi r^2 (2r) = 2\pi r^3

📌 New dimensions:

📌 New radius: \( 0.8r \)

📌 New height: \( 1.5 \times 2r = 3r \)

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