Another word problem that I am struggling with...
Thanks for all help
I've drawn the cylinder with radius 3 dm but I'm not exactly sure what they mean by movable piston.
I guess it is just a part sticking out with height h?
I've also gotten the area of the circular base - A= pi * r^2. = pi * 9 = 28 dm^2.
So volume of the cylinder is then 280 liters.
Would the answer then by V = 280 - 2T?
I think we can kinda think about this like its a hypodermic needle. I think thats whats going on here, where the piston represents the plunger of the syringe.
So since the piston is already pulled back 10dm, I think what we have here is
$\displaystyle V(t)=\pi{r}^2h(t)$ where $\displaystyle h(t)=10+2t$
So, $\displaystyle V(t)=\pi{r}^2(10+2t)$