This is very complicated Don't know but I hope you find out
Answer:
0.027 cubic ft/min
Explanation:
Volume of water is V=V(t) Depth of water is h=h(t)
The relationship between V and h is
V=π/3.r2.h
Let
h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.
Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V
r/h = r0/h0= 10/24 = 5/12
r = (5/12) h,
Substitute for r in V
so,
V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)
When
h= 16ft
and dV/dt = 20ft3/min
,
dV/dt =1/3*π*25/144*h3*(dh/dt)
20ft3/min= 1/3*π* 25/144*h3*(dh/dt)
20 = 1/3*π*(16)3.(dh/dt)
Make dh/DT subject of formula
dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8
=
dh/dt= 0.027 ft3/min
I can see 3 main groups:
The poor - they have a promise of a “reward” in heaven if they obey Church and King.
The Church and King - it provided them with great temporal power. Ever hear of the Divine Right of Kings?
Those people that Xtian armies or “missionaries” held at sword point and gave them the choice of convert or die.
Answer:
One reason that people may desire to migrate away from metropolitan areas is an overcrowding population.
Explanation:
While living in a metropolitan area has many benefits (career and education opportunities for example) most people end up leaving because the busy atmosphere isn't for them. Whether there is a lack of sanitation from overcrowding, noise at all hours of the night, or the size of the population isn't desirable.
I'm also going to assume this is for AP Human Geography, a test I took a few years ago and passed :)
A the outfit you would wear to school