Homework Help - Differentials

[Anonymous No.8362346]

Wondering if anyone can help me out. This draining tank problem is a bit different than the ones I've encountered in the past. No radius of the volume, or of the hole.
Here is what it reads:
A tank is shaped like a vertical cylinder; it initially contains water to a depth of 16ft, and a bottom plus is removed at time t=0. After 1 hour the depth of the water has dropped to 4ft. How long does it take for all the water to drain from the tank?
I started with:
h(t=0) = 16
h(t=1) = 4
dV/dt = -a(2gh)1/2

[Mr. Derp No.8362358]

>>8362346
Hey there kiddo! I'm your new teacher, Mr. Derp. For your first assignment you must read the sticky.

[Anonymous No.8362966]

Wel in 1 hour, 12 feet are drained. Which means in half an hour, 6 feet are drained. Which means in 20 minutes, 4 feet are drained. So 1 hour + 20 min = 80 min

[Anonymous No.8363095]

>>8362966
>linear calculation for DEs
Shigadigadoo

[Anonymous No.8363151]

>>8363095
If it drained 3/4 in one hour, it drained 1/2 in 30 min?

1ft at t=2, 1/4 ft at t=3

[Anonymous No.8363280]

Use Bernoulli's

[Anonymous No.8363462]

Since they didn't give you a theory of the model, you'll have to use Physics to determine the model.

Do you know the rate at which water drains from the bottom of a tank as a function of volume and drain diameter?

[Anonymous No.8363499]

>>8362346
If I didn't make any numerical errors, it should be 2h.

[Anonymous No.8363552]

>>8362346
>rule: no homework threads
>thread is actually titled "homework help"
MODS PLS