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2021 AMC 10B Question 10

AMC10 · 2021 AMC 10B

Question 10

An inverted cone with base radius $12 \mathrm{ cm}$ and height $18 \mathrm{ cm}$ is full of water. The water is poured into a tall cylinder whose horizontal base has a radius of $24 \mathrm{ cm}.$ What is the height in centimeters of the water in the cylinder?
  1. $ 1.5 $
  2. $ 3 $
  3. $ 4 $
  4. $ 4.5 $
  5. $ 6 $