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muscrat123

  • one year ago

The volume of a cone is 251.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14. 16 inches 8 inches 6 inches 4 inches

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  1. muscrat123
    • one year ago
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    @dan815

  2. sepeario
    • one year ago
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    What we have to do with this question is work backwards. Do you know the formula to find the volume of a cone?

  3. muscrat123
    • one year ago
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    yes. i know that i have to work backwards, i just got an answer not an answer choice

  4. sepeario
    • one year ago
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    What did you do to get your answer?

  5. muscrat123
    • one year ago
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    idek!

  6. sepeario
    • one year ago
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    Okay let me show you how I would do it. Volume of cone = \[\frac{ 1 }{ 3 }\pi r^2 h\] (where r is radius and h is height).

  7. sepeario
    • one year ago
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    So we could just substitute the values we already have to find the values that are unknown; \[251.2=\frac{ 1 }{ 3 } 3.14 * r^2*15\]

  8. sepeario
    • one year ago
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    I'm sorry if that's a bit hard to read but do you understand so far?

  9. muscrat123
    • one year ago
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    yes

  10. muscrat123
    • one year ago
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    @Sepeario

  11. sepeario
    • one year ago
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    Then we have \[251=3.14/3 * 15 * r^2\] \[251=(3.14*15)/3 * r^2\] \[251=15.7r^2\]

  12. sepeario
    • one year ago
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    \[251/15.7=r^2\] The radius squared approximately equals 16, and the radius hence is 4.

  13. muscrat123
    • one year ago
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    so the radius is 4?

  14. sepeario
    • one year ago
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    Yes.

  15. muscrat123
    • one year ago
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    so d?

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