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anonymous

  • 5 years ago

if the volume of a sphere above is 4,500 π cubic units , what is the radius of the sphere A.) 15units B.)60units C.)5units D.)30units

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  1. anonymous
    • 5 years ago
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    katie, lets do this together.

  2. anonymous
    • 5 years ago
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    okay :)

  3. anonymous
    • 5 years ago
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    do you know the formula for the volume of a sphere with radius r ?

  4. anonymous
    • 5 years ago
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    Ummm no i don't sorry

  5. anonymous
    • 5 years ago
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    okay. volume of a sphere is http://3.bp.blogspot.com/_z4R-m-_YJkA/Spd0j2ViRhI/AAAAAAAAAPg/70q7xqDA384/s320/volume-of-a-sphere.gif

  6. anonymous
    • 5 years ago
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    do i click on the link?

  7. anonymous
    • 5 years ago
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    yes.

  8. anonymous
    • 5 years ago
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    okay i got it. Thanks so thats step one

  9. anonymous
    • 5 years ago
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    okay great. so 4/3 pi r^3 = 4500 pi

  10. anonymous
    • 5 years ago
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    okay yes :)

  11. anonymous
    • 5 years ago
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    so solve for r.

  12. anonymous
    • 5 years ago
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    do i times a 4500 times 3?

  13. anonymous
    • 5 years ago
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    yes.

  14. anonymous
    • 5 years ago
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    and then?

  15. anonymous
    • 5 years ago
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    okay i got 13500 :)

  16. anonymous
    • 5 years ago
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    what does 13500 equal to?

  17. anonymous
    • 5 years ago
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    15 units

  18. anonymous
    • 5 years ago
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    huh?

  19. anonymous
    • 5 years ago
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    sorry i get the first part but i don't know what you mean whats it equal to

  20. anonymous
    • 5 years ago
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    okay lets start over. \[4/3 * \pi * r ^{3} = 4500 \pi\]

  21. anonymous
    • 5 years ago
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    okay

  22. anonymous
    • 5 years ago
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    so, \[r ^{3} = 4500 \pi / (\pi*4/3) = 4500*3/4 \]

  23. anonymous
    • 5 years ago
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    okay which is 3375 right?

  24. anonymous
    • 5 years ago
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    yes

  25. anonymous
    • 5 years ago
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    and so the radius is?

  26. anonymous
    • 5 years ago
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    3?

  27. anonymous
    • 5 years ago
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    how did you get that?

  28. anonymous
    • 5 years ago
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    i looke at the formula

  29. anonymous
    • 5 years ago
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    okay and?

  30. anonymous
    • 5 years ago
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    idk is the radus 3375

  31. anonymous
    • 5 years ago
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    no. \[r ^{3} = 3375 \rightarrow r = ?\]

  32. anonymous
    • 5 years ago
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    if x^3 is 8, what is x?

  33. anonymous
    • 5 years ago
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    8x3=24 so 24

  34. anonymous
    • 5 years ago
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    okay x^3 means x cubed or x raised to the power 3. x is 2. 2 cube is 8. 2 raised to the power 3 is 8. In other words, 2 multiplied by itself 2 times is 8. i.e 8 = 2 times 2 times 2

  35. anonymous
    • 5 years ago
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    sorry multiplied by itself 3 times.

  36. anonymous
    • 5 years ago
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    2 is called the cube-root of 8.

  37. anonymous
    • 5 years ago
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    similarly radius cubed is 3375. so radius is cube root of 3375.

  38. anonymous
    • 5 years ago
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    use your calculator to find the cube root of 3375. that is your radius.

  39. anonymous
    • 5 years ago
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    okay which is 7425

  40. anonymous
    • 5 years ago
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    do you know what square root is?

  41. anonymous
    • 5 years ago
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    yes hold on :0

  42. anonymous
    • 5 years ago
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    okay 61.4410

  43. anonymous
    • 5 years ago
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    what is 61.441 ?

  44. anonymous
    • 5 years ago
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    the square root

  45. anonymous
    • 5 years ago
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    of?

  46. anonymous
    • 5 years ago
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    3375

  47. anonymous
    • 5 years ago
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    sqrt(3 375) = 58.0947502

  48. anonymous
    • 5 years ago
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    I was asking you if you know the concept of square root.

  49. anonymous
    • 5 years ago
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    ohhh so the answer is b 60 units

  50. anonymous
    • 5 years ago
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    NO. pay attention.

  51. anonymous
    • 5 years ago
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    leave the problem for a moment. Do you know the concept of square root?

  52. anonymous
    • 5 years ago
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    i guess not..

  53. anonymous
    • 5 years ago
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    okay. if you multiply a number by itself. it will give you another number. For example, if you multiply 4 by itself, that is, multiply 4 by 4, you get 16.

  54. anonymous
    • 5 years ago
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    16 is the square of 4.

  55. anonymous
    • 5 years ago
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    okay

  56. anonymous
    • 5 years ago
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    and 4 is the square root of 16.

  57. anonymous
    • 5 years ago
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    do you know the area of a square?

  58. anonymous
    • 5 years ago
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    idk

  59. anonymous
    • 5 years ago
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    area of a square of side A is A*A. that is why this is called square and square root. anyway, thats not important,

  60. anonymous
    • 5 years ago
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    similarly, if you multiply a number by itself 3 times, you get another number. so if you multiply 4 by itself thrice, that is 4 times 4 times 4, you get 64.

  61. anonymous
    • 5 years ago
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    64 is the cube of 4. conversely, 4 is the cube root of 64.

  62. anonymous
    • 5 years ago
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    okay

  63. anonymous
    • 5 years ago
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    okay so, if the radius is multiplied by itself 3 times, you get 3375. so, radius*radius*radius = 3375

  64. anonymous
    • 5 years ago
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    so, to get radius, we need to find the cube root of 3375.

  65. anonymous
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    okay

  66. anonymous
    • 5 years ago
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    now, 10*10*10 = 1000

  67. anonymous
    • 5 years ago
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    and 20*20*20 = 8000

  68. anonymous
    • 5 years ago
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    right?

  69. anonymous
    • 5 years ago
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    yes

  70. anonymous
    • 5 years ago
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    so r*r*r = 3375. 3375 lies between 1000 and 8000. so r must lie between 10 and 20. So, r is 15 units.

  71. anonymous
    • 5 years ago
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    ohhhhhh okay thank you so much :)

  72. anonymous
    • 5 years ago
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    you are welcome.

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