## Anikate Group Title 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? 2 years ago 2 years ago

1. Inopeki Group Title

Whats the difference between a linear and a nonlinear function?

2. Anikate Group Title

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

3. TuringTest Group Title

$V=\pi r^2h$

4. Inopeki Group Title

I would say its nonlinear, but i dont know.

5. Inopeki Group Title

Yeah, but what makes it linear, TT?

6. TuringTest Group Title

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 Group Title

I really didn't understand any of that

8. TuringTest Group Title

sorry *independent variable

9. Inopeki Group Title

Oh, so squared and cubic stuff are nonlinear?

10. TuringTest Group Title

exactly so what about h inopeki?

11. Inopeki Group Title

That is linear

12. TuringTest Group Title

you got it :)

13. Inopeki Group Title

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

14. TuringTest Group Title

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 Group Title

Oh, now i see!

16. TuringTest Group Title

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

17. Inopeki Group Title

Well thanks :D

18. Anikate Group Title

thx guys

19. phi Group Title

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