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
The answer is true because I used to play tennis
Answer:
Why USSR invaded Afghanistan?
Afghanistan Had Long Held Strategic Importance . Fearful that Tsarist Russia's expansion into Central Asia would bring it perilously close to the border of India, their imperial jewel, Britain fought three wars in Afghanistan to maintain a buffer against Russian encroachment.
It's impact on Afghanistan and Pakistan: In the brutal nine- year conflict, an estimated one million civilians were killed as well as 90,000 Mujahideen fighters and 1,800 Afghan troops. The county was left in ruins. Several million Afghan had either fled to Pakistan for refuge or had become internal refugees.
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