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Area and Volume

SAT Math· difficulty 4/5

Two similar cones have surface areas in ratio 4:94:9. What is the ratio of their heights?

  • A

    4:94:9

  • B

    8:278:27

  • C

    2:3\sqrt{2}:3

  • D

    2:32:3

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Explanation

Surface area scales by the square of length ratio: 4:9=2:3\sqrt{4}:\sqrt{9}=2:3.

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