## Anikate 3 years ago 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?

1. Inopeki

Whats the difference between a linear and a nonlinear function?

2. Anikate

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

3. TuringTest

$V=\pi r^2h$

4. Inopeki

I would say its nonlinear, but i dont know.

5. Inopeki

Yeah, but what makes it linear, TT?

6. 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?

7. Anikate

I really didn't understand any of that

8. TuringTest

sorry *independent variable

9. Inopeki

Oh, so squared and cubic stuff are nonlinear?

10. TuringTest

exactly so what about h inopeki?

11. Inopeki

That is linear

12. TuringTest

you got it :)

13. Inopeki

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

14. 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

15. Inopeki

Oh, now i see!

16. TuringTest

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

17. Inopeki

Well thanks :D

18. Anikate

thx guys

19. phi

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