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ryuu

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?

  • one year ago
  • one year ago

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  1. ryuu
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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

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

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

    • one year ago
  4. ryuu
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    So yeah lol

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

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

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

    • one year ago
  8. Dido525
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    And h. Do you understand why?

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

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

    • one year ago
  11. Dido525
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    Does that make sense?

    • one year ago
  12. Dido525
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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"

    • one year ago
  13. ryuu
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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

    • one year ago
  14. Dido525
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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" .

    • one year ago
  15. ryuu
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    I got 25.12 just now.

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

    • one year ago
  17. Dido525
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    Yeah. Replace it by whatever factor times that number.

    • one year ago
  18. ryuu
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    so 25.12 would be wrong i suppose haha.. xD?

    • one year ago
  19. ryuu
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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.. :/

    • one year ago
  20. Dido525
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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.

    • one year ago
  21. Dido525
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    Does that make sense?

    • one year ago
  22. ryuu
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    honestly? still kinda lost. :|

    • one year ago
  23. Dido525
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    Okay. Tell me what you don't understand.

    • one year ago
  24. ryuu
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    |dw:1359091358356:dw|

    • one year ago
  25. ryuu
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    2 > r / h lol

    • one year ago
  26. Dido525
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    No.... :P .

    • one year ago
  27. ryuu
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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

    • one year ago
  28. ryuu
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    blehh xD

    • one year ago
  29. ryuu
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    and i know 28.3 is the volume of the can

    • one year ago
  30. ryuu
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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)

    • one year ago
  31. Dido525
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    Yeah you will use the 28.3

    • one year ago
  32. Dido525
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    Here Maybe a picture will help.

    • one year ago
  33. ryuu
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    kk

    • one year ago
  34. Dido525
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    |dw:1359091625314:dw|

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

    • one year ago
  36. Dido525
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    |dw:1359091742557:dw|

    • one year ago
  37. Dido525
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    That's a badly drawn r XD .

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

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

    • one year ago
  40. Dido525
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    Did you understand me though?

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

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

    • one year ago
  43. Dido525
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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.

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

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

    • one year ago
  46. ryuu
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    right?

    • one year ago
  47. Dido525
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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.

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

    • one year ago
  49. Dido525
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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.

    • one year ago
  50. ryuu
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    ohh okay.

    • one year ago
  51. Dido525
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    Does that make sense?

    • one year ago
  52. ryuu
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    yes. thank you. xD

    • one year ago
  53. ryuu
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    sorry if i got you frustrated haha.. =X

    • one year ago
  54. Dido525
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    Nope :) .

    • one year ago
  55. ryuu
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    :D

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

    • one year ago
  57. Dido525
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    Erm... Maybe.

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

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

    • one year ago
  60. Dido525
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    But go ahead.

    • one year ago
  61. ryuu
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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.

    • one year ago
  62. ryuu
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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

    • one year ago
  63. Dido525
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    Did you draw a picture?

    • one year ago
  64. ryuu
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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

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

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

    • one year ago
  67. ryuu
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    idk if im just messing myself up honestly haha

    • one year ago
  68. Dido525
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    What's the answer?

    • one year ago
  69. ryuu
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    like i said i got 1152 lol

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

    • one year ago
  71. ryuu
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    dunno what i missed

    • one year ago
  72. Dido525
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    Here look at this picture.

    • one year ago
  73. Dido525
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    |dw:1359093139215:dw|

    • one year ago
  74. Dido525
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    |dw:1359093195504:dw|

    • one year ago
  75. ryuu
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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?

    • one year ago
  76. Dido525
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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?

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

    • one year ago
  78. Dido525
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    Welcome!

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

    • one year ago
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