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Anikate

  • 4 years ago

Please Help!!!!!!!!! The radius of the base of a cylinder is 3 feet. Is the volume of the cylinder a linear or nonlinear function of the height of the cylinder?

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  1. Inopeki
    • 4 years ago
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    Whats the difference between a linear and a nonlinear function?

  2. Anikate
    • 4 years ago
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    A linear is a straight line that can be made on a graph and a nonlinear is not straight

  3. TuringTest
    • 4 years ago
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    \[V=\pi r^2h\]

  4. Inopeki
    • 4 years ago
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    I would say its nonlinear, but i dont know.

  5. Inopeki
    • 4 years ago
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    Yeah, but what makes it linear, TT?

  6. TuringTest
    • 4 years ago
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    if the dependent variable is only to the 1st power, it's linear if it's to a higher power, it's non-linear. what is the exponent on h, the height?

  7. Anikate
    • 4 years ago
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    I really didn't understand any of that

  8. TuringTest
    • 4 years ago
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    sorry *independent variable

  9. Inopeki
    • 4 years ago
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    Oh, so squared and cubic stuff are nonlinear?

  10. TuringTest
    • 4 years ago
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    exactly so what about h inopeki?

  11. Inopeki
    • 4 years ago
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    That is linear

  12. TuringTest
    • 4 years ago
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    you got it :)

  13. Inopeki
    • 4 years ago
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    anikate, since r is to the power of 2 its nonlinear.

  14. TuringTest
    • 4 years ago
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    but they ask about the relation to the height, so since h is to the first, this is a linear relationship if they asked about the relation to the radius you would be right

  15. Inopeki
    • 4 years ago
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    Oh, now i see!

  16. TuringTest
    • 4 years ago
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    yeah sometimes you gotta be careful reading the question good job understanding!

  17. Inopeki
    • 4 years ago
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    Well thanks :D

  18. Anikate
    • 4 years ago
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    thx guys

  19. phi
    • 4 years ago
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    \[V= f(h)= 9 \pi h\] in this case pi r^2 acts like a constant and the volume varies linearly with h

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