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gandako

suppose the lateral area of a right circular cone and the area of a sphere is equal 64π inches^2. if the radius of the sphere and the radius of the base of the cone are equal, what is the volume of the cone?

  • one year ago
  • one year ago

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  1. Miyuru
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    Is the question complete..? :D

    • one year ago
  2. gandako
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    Sorry! the question is now complete please help me :( thanks!

    • one year ago
  3. Miyuru
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    |dw:1350220886630:dw|

    • one year ago
  4. gandako
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    i really don't know how it looks like,but i guess what you did was right. :)

    • one year ago
  5. gandako
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    how can I find the total area and volume?:(

    • one year ago
  6. experimentX
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    what's the prism ? what's pyramid? make your figure properly ... this shouldn't be difficult.

    • one year ago
  7. experimentX
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    |dw:1350221237912:dw|

    • one year ago
  8. gandako
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    regular hexagonal prism with 10-in long sides and apothem of length 9-in long. uhh, yeah! I think so.

    • one year ago
  9. experimentX
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    |dw:1350221347921:dw| |dw:1350221367792:dw|

    • one year ago
  10. Miyuru
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    |dw:1350221334283:dw|

    • one year ago
  11. gandako
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    miyuri what is 12 there?

    • one year ago
  12. gandako
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    experimentX yeah but how can i find the volume and total area?

    • one year ago
  13. Miyuru
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    It would be essential in finding the volume...

    • one year ago
  14. Miyuru
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    To find the total area multiply the area of triangle by 6 + area of hexagon..

    • one year ago
  15. experimentX
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    volume of pyramid = 1/3* area of hexagon * height

    • one year ago
  16. experimentX
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    for surface area ... |dw:1350221785183:dw|

    • one year ago
  17. experimentX
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    |dw:1350221947122:dw|

    • one year ago
  18. Miyuru
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    Total area = \[(\frac{15*10}{2}*6)+(\frac{10*9}{2}*6)\]

    • one year ago
  19. experimentX
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    yeah ... looks like that's correct!!

    • one year ago
  20. gandako
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    Gee! thanks a lot!!!!! but how is this? find the volume of the region outside the pyramid and inside the prism.

    • one year ago
  21. experimentX
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    find the volume of pyramid ... find the volume of prism ... subtract 1 from 2

    • one year ago
  22. Miyuru
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    Volume = \[(\frac{10*9}{2}*6)*\frac{1}{3}*12 - (\frac{10*9}{2}*6*12)\]

    • one year ago
  23. experimentX
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    lol ... you did the opposite? is height 12??

    • one year ago
  24. Miyuru
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    I took the height of the pyramid...

    • one year ago
  25. experimentX
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    should be something like this if 12 is height \[ - (\frac{10*9}{2}*6)*\frac{1}{3}*12 + (\frac{10*9}{2}*6*12) \]

    • one year ago
  26. Miyuru
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    Oops yeah @experimentX I changed the sides of the equation... :D

    • one year ago
  27. experimentX
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    well ...i guess that it is!!

    • one year ago
  28. gandako
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    so 4320 is the volume?=)

    • one year ago
  29. gandako
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    What is the area of the base and the height?

    • one year ago
  30. Miyuru
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    Yeah @gandako U are correct.. volume=4320

    • one year ago
  31. Miyuru
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    I found the height from the triangle drawn above.. x=12

    • one year ago
  32. gandako
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    but how about the are of the base @Miyuru ?

    • one year ago
  33. Miyuru
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    Base = side of the hexagon

    • one year ago
  34. gandako
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    i can't understand:(

    • one year ago
  35. Miyuru
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    From which step are you confused?

    • one year ago
  36. gandako
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    here: volume of pyramid=1/3 * area of the base *height how can get the are of the base?

    • one year ago
  37. Miyuru
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    Here the base is the hexagon and it's area is six times the area of a triangle...

    • one year ago
  38. gandako
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    6 x bh/2 is this? what is the value of b in there?

    • one year ago
  39. Miyuru
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    b = 10

    • one year ago
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