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25 May, 03:46

A cone has a volume of 36π ft^3. The height of the cone is 12 ft. Find the diameter of the base of the cone

Round to one decimal place if necessary.

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Answers (1)
  1. 25 May, 04:02
    0
    Answer: 6 feet

    Step-by-step explanation:

    Hi, to answer this question we have to apply the next formula:

    Volume of a cone = (1/3) π radius² height

    Replacing with the values given and solving for r:

    36π = (1/3) π r² 12

    36π / [ (1/3) π 12] = r²

    9 = r²

    √9 = r

    3 ft = r

    Since:

    Diameter = 2 x radius

    Substituting r=3

    D = 2x 3

    D = 6 feet

    Feel free to ask for more if needed or if you did not understand something.
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