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ryuu

  • 3 years ago

The volume of a can is 28.3 cubic inches (in.^3). If the radius and the height of the can are multiplied by a scale factor of 2, what is the volume of the new can?

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  1. ryuu
    • 3 years ago
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    Please tell me how you got to the answer, this kind of material will be in my test tomorrow.. x.x

  2. Dido525
    • 3 years ago
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    What kind of can? I assume it is is a Cylinder but...

  3. ryuu
    • 3 years ago
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    It just says that, so I would assume it's a cylinder. =P

  4. ryuu
    • 3 years ago
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    So yeah lol

  5. Dido525
    • 3 years ago
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    Well the volume of a cylinder is pi*r^2*h.

  6. Dido525
    • 3 years ago
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    When something is multiplied by a factor you replace the ariable by that same factor.

  7. ryuu
    • 3 years ago
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    So... replace r with 2, that's all?

  8. Dido525
    • 3 years ago
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    And h. Do you understand why?

  9. ryuu
    • 3 years ago
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    ahh sorry word problems get me. No I don't.

  10. Dido525
    • 3 years ago
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    When you scale something or multiplying by a factor you are basically saying "two times more than the original value" .

  11. Dido525
    • 3 years ago
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    Does that make sense?

  12. Dido525
    • 3 years ago
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    So when I say I multiply by a factor of 5 I am basically saying "Take your original value and multiply by 5"

  13. ryuu
    • 3 years ago
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    Somewhat. So in some case, just guessing, it'd be like half of the original amount given? 28.3? or... x.x; lol I mean I get I have to replace it and why now

  14. Dido525
    • 3 years ago
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    Or for instance, when I say I multiply something by a factor of 7 I am saying "Take your original number and replace it by 7 times the original value" .

  15. ryuu
    • 3 years ago
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    I got 25.12 just now.

  16. ryuu
    • 3 years ago
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    So, basically when multiplying by a factor, you replace the other numbers? in this case the radius and the height?

  17. Dido525
    • 3 years ago
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    Yeah. Replace it by whatever factor times that number.

  18. ryuu
    • 3 years ago
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    so 25.12 would be wrong i suppose haha.. xD?

  19. ryuu
    • 3 years ago
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    Sorry.. I learned this all before, but since it's a new teacher he shows us in a different way, and it's getting me all confused.. :/

  20. Dido525
    • 3 years ago
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    Well The volume is directly proportional to the height and the radius squared. So If you increases the radius and height by a certain factor the Volume increases by the same factor.

  21. Dido525
    • 3 years ago
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    Does that make sense?

  22. ryuu
    • 3 years ago
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    honestly? still kinda lost. :|

  23. Dido525
    • 3 years ago
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    Okay. Tell me what you don't understand.

  24. ryuu
    • 3 years ago
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    |dw:1359091358356:dw|

  25. ryuu
    • 3 years ago
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    2 > r / h lol

  26. Dido525
    • 3 years ago
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    No.... :P .

  27. ryuu
    • 3 years ago
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    the thing i dont get is.. i get lost after they say the radius and height of the can are multiplied by the factor of 2

  28. ryuu
    • 3 years ago
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    blehh xD

  29. ryuu
    • 3 years ago
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    and i know 28.3 is the volume of the can

  30. ryuu
    • 3 years ago
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    but im confused if ill need to use 28.3 # at all or just work out a certain equation like you said replace with the other things in my case i think this: 3.14(2)^2(2)

  31. Dido525
    • 3 years ago
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    Yeah you will use the 28.3

  32. Dido525
    • 3 years ago
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    Here Maybe a picture will help.

  33. ryuu
    • 3 years ago
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    kk

  34. Dido525
    • 3 years ago
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    |dw:1359091625314:dw|

  35. ryuu
    • 3 years ago
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    oh i see, but.. then what's the radius? o.o

  36. Dido525
    • 3 years ago
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    |dw:1359091742557:dw|

  37. Dido525
    • 3 years ago
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    That's a badly drawn r XD .

  38. ryuu
    • 3 years ago
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    XD! It's okay I understand. And I appreciate the help thanks a lot. i got a test tomorrow.. ><

  39. ryuu
    • 3 years ago
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    and that teacher teaching his ways just gets me confused all the time, i mostly teach myself instead xD

  40. Dido525
    • 3 years ago
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    Did you understand me though?

  41. ryuu
    • 3 years ago
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    somewhat, im confused as to what happened to r and pi though xD

  42. ryuu
    • 3 years ago
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    and why group in the replaced 2 with the r if you'll be replacing it?

  43. Dido525
    • 3 years ago
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    The pi is still there. I replaced the radius with 2r because we are multiplying the radius by a factor of 2.

  44. ryuu
    • 3 years ago
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    so pretty much just leave the r alone, and just leave it aside and continue the problem?

  45. ryuu
    • 3 years ago
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    as well as with pi? and just multiply the new factors 8 and 28.3

  46. ryuu
    • 3 years ago
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    right?

  47. Dido525
    • 3 years ago
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    No... :P . Rather replace the r by 2r because we are multiplying the r by a factor of 2 and then square the resultant.

  48. ryuu
    • 3 years ago
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    oh i see. ok, but that doesn't explain why pi is practically gone lol

  49. Dido525
    • 3 years ago
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    No no. The pi is there. We can't multiply pi by a factor because pi is a fixed, constant number.

  50. ryuu
    • 3 years ago
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    ohh okay.

  51. Dido525
    • 3 years ago
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    Does that make sense?

  52. ryuu
    • 3 years ago
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    yes. thank you. xD

  53. ryuu
    • 3 years ago
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    sorry if i got you frustrated haha.. =X

  54. Dido525
    • 3 years ago
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    Nope :) .

  55. ryuu
    • 3 years ago
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    :D

  56. ryuu
    • 3 years ago
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    can ya help me with another one? similar stuff just finding the area of complex and irregular figures

  57. Dido525
    • 3 years ago
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    Erm... Maybe.

  58. ryuu
    • 3 years ago
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    dont gotta lol just asking if you can or want to.

  59. Dido525
    • 3 years ago
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    No I mean, I might not be able to solve it.

  60. Dido525
    • 3 years ago
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    But go ahead.

  61. ryuu
    • 3 years ago
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    Oh , kk, uhm it's just algebra all the same. here it goes. A rectangular mirror is 24 inches by 48inches. The frame around the mirror is 3inches. wide. Find the area of the mirror including the frame.

  62. ryuu
    • 3 years ago
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    I multiplied 24 and 48 and got 1,152 but that would just be the mirror's area. I also need the frames

  63. Dido525
    • 3 years ago
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    Did you draw a picture?

  64. ryuu
    • 3 years ago
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    Mhm. I shaded the frame to make it look differently. But i also tried multiplying all numbers and it doesn't add up

  65. ryuu
    • 3 years ago
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    and i get a bit confused sometimes with this book with the problems cause sometimes they're 3 dimensional lol

  66. ryuu
    • 3 years ago
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    and i mix up as to where to put the numbers on what side or what not

  67. ryuu
    • 3 years ago
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    idk if im just messing myself up honestly haha

  68. Dido525
    • 3 years ago
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    What's the answer?

  69. ryuu
    • 3 years ago
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    like i said i got 1152 lol

  70. Dido525
    • 3 years ago
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    I think it's 1,620 inches ^2 .

  71. ryuu
    • 3 years ago
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    dunno what i missed

  72. Dido525
    • 3 years ago
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    Here look at this picture.

  73. Dido525
    • 3 years ago
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    |dw:1359093139215:dw|

  74. Dido525
    • 3 years ago
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    |dw:1359093195504:dw|

  75. ryuu
    • 3 years ago
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    So you're sharing all 3s down the middle? and breaking em down? to add 6 to both 24 and 48?

  76. Dido525
    • 3 years ago
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    yeah because we are given the frame is 3 inches wide right? So it's 3 inches wide everywhere. Does that make sense?

  77. ryuu
    • 3 years ago
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    yes it does thank you very much, once again. :)

  78. Dido525
    • 3 years ago
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    Welcome!

  79. ryuu
    • 3 years ago
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    time to finish hw, bye, take care and i fan'd ya. :P

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