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
Answer:
C
Explanation:
the answer you have is correct (:
Answer: B
. Merchants' understanding of the patterns of the monsoon winds
Explanation:
India faces a very heavy monsoon every year that brings heavy rainfall and very strong winds.
It would make sense that for merchants to have been able to trade in India in the past, they would have had to have a good understanding of the patterns of the monsoon winds so that they would embark on their trade missions with little to no losses.
12 inches=1 foot is the answer I believe.
There can be bad side effects leading to a possible accident