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anonymous

  • one year ago

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: Which of the following could be used to calculate the total volume of grains that can be stored in the silo? π(8.5ft)2(2ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(2ft)2(8.5ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(8.5ft)2(2ft) + one over threeπ(13ft − 8.5ft)2(2ft) π(2ft)2(8.5ft) + one over threeπ(13ft − 8.5ft)2(2ft)

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  1. anonymous
    • one year ago
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  2. welshfella
    • one year ago
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    does (2ft)2 mean 2 feet squared?

  3. welshfella
    • one year ago
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    - just making sure

  4. anonymous
    • one year ago
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    yes

  5. anonymous
    • one year ago
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    @welshfella

  6. welshfella
    • one year ago
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    Ok the volume of the cylindrical part = π r^2 h where r = radius (which is half the diameter) and h = height

  7. welshfella
    • one year ago
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    and the volume of the cone = (1/3) π r^2 h where r=radius and h = height

  8. welshfella
    • one year ago
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    now check out the diagram to find these values and plug them into the above formulas

  9. anonymous
    • one year ago
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    okay im thinking a or b

  10. welshfella
    • one year ago
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    ok but try and work the formula out radius = 1/2 * 4 = 2 and height of the cylinder = 8.5 what is the height of the cone?

  11. welshfella
    • one year ago
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    cylinder = π r^2 h = π * 2^2 * what ?

  12. anonymous
    • one year ago
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    im finding the volume of the cylinder?

  13. welshfella
    • one year ago
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    yes what comes after the 2^2?

  14. welshfella
    • one year ago
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    h right what is h?

  15. anonymous
    • one year ago
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    the volume would be 106.81

  16. anonymous
    • one year ago
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    h is height

  17. welshfella
    • one year ago
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    yes and h = ?

  18. anonymous
    • one year ago
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    8.5**

  19. welshfella
    • one year ago
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    right vol of cyl = π* 2^2 * 8

  20. anonymous
    • one year ago
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    right

  21. welshfella
    • one year ago
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    and volume of the cone = 1/3 π 2^2 * h and h = difference (13 - 8.5) so which of the choices is correct?

  22. welshfella
    • one year ago
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    the volumes of the cyl and cone are of course added together

  23. welshfella
    • one year ago
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    have a close look at a and b. It is one of those Which one?

  24. welshfella
    • one year ago
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    putting the volumes together we have π* 2^2 * 8.8 + 1/3 π 2^2 * (13 - 8.5)

  25. welshfella
    • one year ago
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    a or b?

  26. welshfella
    • one year ago
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    oh a typo - that should be 8.5 not 8.8

  27. anonymous
    • one year ago
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    a?

  28. welshfella
    • one year ago
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    a is π* 8.5^2 * 2 + 1/3 π 2^2 * (13 - 8.5)

  29. welshfella
    • one year ago
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    check this against what we worked out

  30. welshfella
    • one year ago
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    is 8.5 the radius and 2 the height??

  31. welshfella
    • one year ago
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    i gotta go right now - check out my posts i'm sure you can work it out

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