Respuesta :
Answer: 1462.5π
Step-by-step explanation:
y is assumed to varies from south to north. Therefore, h(y) = ay + b
h(-15) = 4 = -15a + b ................................(Eq 1)
h(15) = 9 = 15a + b ................................(Eq 2)
(Eq 1) + (Eq 2)
(-15a + b) + (15a + b) = 13
2b = 13
[tex]b = \frac{13}{2}[/tex]
Substitute b=6.5 into (Eq 1)
4 = (-15a) + (13/2)
15a = 6.5 - 4
[tex]a = \frac{1}{6}[/tex]
Therefore, [tex]h (y) = \frac{1}{6}y +\frac{13}{2}[/tex]
Next, integrate the equation to obtain the volume of water in the pool.
Attached are the calculation for the volume of water in the pool.

Answer:
Volume of water in pool = 1462.5π
Step-by-step explanation:
I have attached the explanation
