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anonymous

  • one year ago

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inches 8 inches 10 inches

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  1. anonymous
    • one year ago
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    the first thing is the formula, what is the formula?

  2. anonymous
    • one year ago
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    Im not sure

  3. anonymous
    • one year ago
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    let that equal your volume i.e. \[pixr^2x (h/3) = 104.67 cm^3\]

  4. anonymous
    • one year ago
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    Now, you are given the height = 4 inches so, \[\pi x r^2 x (4/3) = 104.67 cm^3\]

  5. anonymous
    • one year ago
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    Yes

  6. anonymous
    • one year ago
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    now, lets isolate the r^2

  7. anonymous
    • one year ago
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    so \[\pi x (4/3) = \]

  8. anonymous
    • one year ago
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    roughly 4.18879

  9. anonymous
    • one year ago
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    so now you have 4.18879 r^2 = 104.67 cm^3

  10. anonymous
    • one year ago
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    dividing across, we get \[104.67cm^3/4.18879 = 24.988 cm^3\]

  11. anonymous
    • one year ago
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    Okay

  12. anonymous
    • one year ago
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    r^2 = 24.988cm^3

  13. anonymous
    • one year ago
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    Sorry im so confused with this question

  14. anonymous
    • one year ago
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    \[r= \sqrt{24.988}\]

  15. anonymous
    • one year ago
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    r= 4.99

  16. anonymous
    • one year ago
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    OH

  17. anonymous
    • one year ago
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    So its ten

  18. anonymous
    • one year ago
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    try it now: \[V= \pi x r^2 x (h/3)\]

  19. anonymous
    • one year ago
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    \[V= \pi x (5)^2 x (4/3)\]

  20. anonymous
    • one year ago
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    Now since r= 5, and d= 2r, then the diameter must be 10inches

  21. anonymous
    • one year ago
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    Yes i get it now thank you so much

  22. anonymous
    • one year ago
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    You're very welcome!

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