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Home » The hemisphere has radius $ 3r $, so its volume is: - SUpost

The hemisphere has radius $ 3r $, so its volume is: - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 A chemist prepares a solution by diluting 40 mL of concentrated acid to 500 mL total volume. What is the dilution factor, and if she needs 1.5 L of the diluted solution, how many milliliters of the original acid are required?

📌 Dilution factor = final volume / initial volume = 500 / 40 = <<500/40=12.5>>12.5

📌 For 1.5 L = 1500 mL, acid needed = 1500 / 12.5 = <<1500/12.5=120>>120 mL

📌 A paleobotanist estimates the age of a fossil layer using carbon-14 decay, knowing the half-life is 5730 years. If a sample has 12.5% of its original carbon-14 remaining, how old is the sample?

📌 12.5% = 1/8 = (1/2)³, so 3 half-lives have passed.

📌 Age = 3 × 5730 = <<3*5730=17190>>17,190 years

📌 #### 17190

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