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
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The ecological footprint is a general assessement of the population while the ecological footprint per capita means the ratio a country's per capita Footprint to the per capita biological capacity available on Earth.
<h3>What is an Ecological Footprint?</h3>
This is best defined as the impact of human activities which is measured in terms of the area of biologically productive land and water required to produce the goods consumed and to assimilate the wastes generated.
The importance of Ecological Footprint is due to the fact that it does measures the biologically productive area that are needed to provide for everything that people demand from nature such as fruits, vegetables, meat, fish, wood, cotton, fibres, as well as absorption of carbon dioxide from fossil fuel burning and space for buildings and road.
In essence, the ecological Footprint assess how fast or quick the people consume resources and generate waste compared to how fast nature can absorb our waste and generate resources.
Read more about Ecological Footprint
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