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?
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Inopeki
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Whats the difference between a linear and a nonlinear function?
Anikate
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A linear is a straight line that can be made on a graph and a nonlinear is not straight
TuringTest
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\[V=\pi r^2h\]
Inopeki
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I would say its nonlinear, but i dont know.
Inopeki
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Yeah, but what makes it linear, TT?
TuringTest
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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?
Anikate
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I really didn't understand any of that
TuringTest
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sorry *independent variable
Inopeki
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Oh, so squared and cubic stuff are nonlinear?
TuringTest
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exactly
so what about h inopeki?
Inopeki
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That is linear
TuringTest
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you got it :)
Inopeki
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anikate, since r is to the power of 2 its nonlinear.
TuringTest
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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
Inopeki
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Oh, now i see!
TuringTest
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yeah sometimes you gotta be careful reading the question
good job understanding!
Inopeki
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Well thanks :D
Anikate
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thx guys
phi
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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