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Home » You Won’t Believe Which 80er Rock Bands Shook the World in the 80s! - Carbonext

You Won’t Believe Which 80er Rock Bands Shook the World in the 80s! - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 The factor of increase is:

📌 \frac{V_2}{V_1} = \frac{400\pi}{100\pi} = 4

📌 Thus, the volume increases by a factor of:

📌 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

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