Anons help me solve this math problem

underage

>>8609949
exactly 500 liters? it's constrained optimization. you're minimizing the surface area under the constraint volume = 500 liters.

>>8609967
It says it has to take 500 liters. I don't quite get it

>>8609979

it's still the same problem either way.

>>8609949
The question is whether a long thin container has less surface area than a short chubby one.

The area of the walls is just a rectangle
The area of the ends is 2x a circle.

Now you have to make an argument about the total surface area vs. The dimensions. That's the hard part and I'm not doing it for you.

>>8609949
One of the first problems in high school calc....

>>8610050
Both r and h are variable, it's more than a simple extrema problem.

v=pi*r^2*h
sa=2pi*r*h+2pi*r^2
h=400/(pi*r^2)
sa=2pi*r*(400/(pi*r^2))+2*pi*r^2

The rest is trivial.

>>8610087
I meant 500, not 400.

>>8610084
no it's not.

r and h are related to eachother because the volume is fixed, so they are not independent of eachother, thus it is a simple extrema problem that doesn't even require calculus.

>>8610093
Brainlet detected

>>8610653
o-oh

>>8609949
use the formula v=4/3*pi*r^3