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- 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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- Anikate

- schrodinger

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- anonymous

Whats the difference between a linear and a nonlinear function?

- Anikate

A linear is a straight line that can be made on a graph and a nonlinear is not straight

- TuringTest

\[V=\pi r^2h\]

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- anonymous

I would say its nonlinear, but i dont know.

- anonymous

Yeah, but what makes it linear, TT?

- 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

I really didn't understand any of that

- TuringTest

sorry *independent variable

- anonymous

Oh, so squared and cubic stuff are nonlinear?

- TuringTest

exactly
so what about h inopeki?

- anonymous

That is linear

- TuringTest

you got it :)

- anonymous

anikate, since r is to the power of 2 its nonlinear.

- 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

Oh, now i see!

- TuringTest

yeah sometimes you gotta be careful reading the question
good job understanding!

- anonymous

Well thanks :D

- Anikate

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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