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anonymous

  • one year ago

http://postimg.org/image/rpcwj7gj9/faf27263/ Can anyone help me with 2 geometry questions?! :D

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  1. anonymous
    • one year ago
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    no problem, i might have to hop back and forth with another person lol

  2. anonymous
    • one year ago
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    SO for 22, the lighter sphere's diameter is 4, and the shaded sphere is 12

  3. anonymous
    • one year ago
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    do you know the sphere volume equation?

  4. anonymous
    • one year ago
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    V= 4/3(pi)(r)^3 ?

  5. anonymous
    • one year ago
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    as for the question itself, you just find the volumes, and subtract from each other

  6. anonymous
    • one year ago
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    yes correct!

  7. anonymous
    • one year ago
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    But remember it is DIAMETER, and we want RADIUS, and to get that, we divide the diameter by 2

  8. anonymous
    • one year ago
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    Then you just plug the values of the radius for the equation and find both, then subtract to find your answer!, find it and i will check

  9. anonymous
    • one year ago
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    so is the diameter 8?

  10. anonymous
    • one year ago
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    no, one of the diameter is 4, and one is 12

  11. anonymous
    • one year ago
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    so find the radius of them both! and then plug them in

  12. anonymous
    • one year ago
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    ohhh! I didn't see the 12 xD

  13. anonymous
    • one year ago
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    so I do 4/3 * 3.14 * 6^3 ?

  14. anonymous
    • one year ago
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    yes sorry! i was helping another person

  15. anonymous
    • one year ago
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    And you would do the same for the other sphere, whose diameter is 4

  16. anonymous
    • one year ago
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    and I get 1657.92 - 33.49 ?

  17. anonymous
    • one year ago
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    How did you get 1657.etc

  18. anonymous
    • one year ago
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    I plugged 4/3 * 3.14 * (6)^3

  19. anonymous
    • one year ago
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    hmmm, well 4/3= 1.3333333.... 1.3333.....x3.14 (personally like to use pi but whatever :P)=4.18666666... So then 6^3 equals 216 so 4.1866666666X216=904.32

  20. anonymous
    • one year ago
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    other one is right :)

  21. anonymous
    • one year ago
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    Wow xD blonde moment there! Can you help with the other if you have the time? XD

  22. anonymous
    • one year ago
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    yea! so we know how to find the shaded area quickly, because volume of rectangular prism is l x w x h

  23. anonymous
    • one year ago
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    Do you know the cylinder volume formula

  24. anonymous
    • one year ago
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    v=(pi)(r^2)(h)

  25. anonymous
    • one year ago
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    yes!

  26. anonymous
    • one year ago
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    So we already know the height and radius. To know these you have to image a bit. The circle/ends of the cylinder take up the whole ends of the prism except for those slivers. The diameter would just be one of the sides, which is 8 in this case. Then we find the radius which is 4

  27. anonymous
    • one year ago
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    and to find the hieght it is the length of the prism, which is, you guessed it, 32

  28. anonymous
    • one year ago
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    so then we just subtract the volumes from each other

  29. anonymous
    • one year ago
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    hope i helped!!!!

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