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
in my opinion, I wouldn't use any of them, it's only best if you use the book itself. Both the website and the college paper are formed on people's opinions. If this was something that was given to you as a test question, your best bet would be the college paper. The college paper would be filled with Shakespeare's theme and symbolism and some of these themes that he uses are usually not easy to find, especially is your reading the modern version.
C - Excitement
This is because if you expect to succeed, you're expecting something fun and the adrenaline is pumping because you're excited to win and show those around you what you're made of.
A is incorrect as if you're expecting to succeed, you're confident in yourself and you're abilities.
B is incorrect as happiness is more of an after feeling that you get, while excitement is more of an in the moment feeling.
D is incorrect as this is similar to uncertainty; if you're not confident and you expect failure, you'd be hesitant on doing the activity.
Hope this helps!
