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

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Other answers:

I would say its nonlinear, but i dont know.
Yeah, but what makes it linear, TT?
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?
I really didn't understand any of that
sorry *independent variable
Oh, so squared and cubic stuff are nonlinear?
exactly so what about h inopeki?
That is linear
you got it :)
anikate, since r is to the power of 2 its nonlinear.
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
Oh, now i see!
yeah sometimes you gotta be careful reading the question good job understanding!
Well thanks :D
thx guys
  • 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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