Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
Answer:
7 8/21, 7.6, 7 2/3, 7.71, 7 4/5
Step-by-step explanation:
none
Answer: 16 hours
Step-by-step explanation:
The two equations are:
840 + 17x
and
760 + 22x
with x being the amount of hours
840 + 17x = 760 + 22x
-760
80 + 17x = 22x
-17x
80 = 5x
/5
16 = x
840 + 17(16) = 1,112
760 + 22(16) = 1,112
