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Home » The Shocking Method to Create a High-Quality PDF No One Talks About! - DNSFLEX

The Shocking Method to Create a High-Quality PDF No One Talks About! - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 #### 12000

📌 A ichthyologist tagged 200 groupers in a reef. A month later, only 160 remained, and 30 had migrated out of the study area. What percentage of the original groupers were either migrated or lost?

📌 Fish lost or migrated = 160 − 30 = <<160-30=130>>130

📌 Percentage lost/migrated = (130 ÷ 200) × 100 = <<(130/200)*100=65>>65%

📌 #### 65%Question: A museum curator uses VR to reconstruct a spherical astrolabe with radius $ r $, and a conical component with base radius $ r $ and height $ 2r $. What is the ratio of the volume of the cone to the volume of the sphere?

📌 Solution: The volume of a cone is given by $ V_{\text{cone}} = \frac{1}{3}\pi r^2 h $. Substituting $ h = 2r $, we get:

📌 V_{\text{cone}} = \frac{1}{3} \pi r^2 (2r) = \frac{2}{3} \pi r^3

📌 The volume of a sphere is $ V_{\text{sphere}} = \frac{4}{3} \pi r^3 $.

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