*seconds
Explain the volume of the tank as a function of the height. Express the depth of the water in the tank as a function of the time in t seconds.
I'm stuck on this problem in my homework, can you help me and explain it?
*seconds
Explain the volume of the tank as a function of the height. Express the depth of the water in the tank as a function of the time in t seconds.
I'm stuck on this problem in my homework, can you help me and explain it?
really not much to do here. we just want to manipulate the equations you already know.
For a cylinder,
$\displaystyle V = \pi r^2 h$
$\displaystyle \Rightarrow \boxed{h = \frac V{\pi r^2}}$
we know that $\displaystyle V = 20t$Express the depth of the water in the tank as a function of the time in t seconds.
(the volume of water increases by 20 ft^3 every second)
thus, $\displaystyle h = \frac {20t}{\pi r^2}$
$\displaystyle \Rightarrow \boxed{h = \frac {5t}{4 \pi}}$ ........since r = 4