Anikate
  • Anikate
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?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Whats the difference between a linear and a nonlinear function?
Anikate
  • Anikate
A linear is a straight line that can be made on a graph and a nonlinear is not straight
TuringTest
  • TuringTest
\[V=\pi r^2h\]

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anonymous
  • anonymous
I would say its nonlinear, but i dont know.
anonymous
  • anonymous
Yeah, but what makes it linear, TT?
TuringTest
  • TuringTest
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?
Anikate
  • Anikate
I really didn't understand any of that
TuringTest
  • TuringTest
sorry *independent variable
anonymous
  • anonymous
Oh, so squared and cubic stuff are nonlinear?
TuringTest
  • TuringTest
exactly so what about h inopeki?
anonymous
  • anonymous
That is linear
TuringTest
  • TuringTest
you got it :)
anonymous
  • anonymous
anikate, since r is to the power of 2 its nonlinear.
TuringTest
  • TuringTest
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
anonymous
  • anonymous
Oh, now i see!
TuringTest
  • TuringTest
yeah sometimes you gotta be careful reading the question good job understanding!
anonymous
  • anonymous
Well thanks :D
Anikate
  • Anikate
thx guys
phi
  • phi
\[V= f(h)= 9 \pi h\] in this case pi r^2 acts like a constant and the volume varies linearly with h

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