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?

Question

anonymous · Answer

Whats the difference between a linear and a nonlinear function?

anikate · Answer

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

turingtest · Answer

$$V=\pi r^2h$$

anonymous · Answer

I would say its nonlinear, but i dont know.

anonymous · Answer

Yeah, but what makes it linear, TT?

turingtest · Answer

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 · Answer

I really didn't understand any of that

turingtest · Answer

sorry *independent variable

anonymous · Answer

Oh, so squared and cubic stuff are nonlinear?

turingtest · Answer

exactly
so what about h inopeki?

anonymous · Answer

That is linear

turingtest · Answer

you got it :)

anonymous · Answer

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

turingtest · Answer

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 · Answer

Oh, now i see!

turingtest · Answer

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

anonymous · Answer

Well thanks :D

anikate · Answer

thx guys

phi · Answer

$$V= f(h)= 9 \pi h$$
in this case pi r^2 acts like a constant and the volume varies linearly with h