Respuesta :
The cylindrical swimming pool contain 4512 gallons of water, if a pool diameter has a diameter of 16 feet and a height of 3 feet.
Step-by-step explanation:
The given is,
Diameter of swimming pool is 16 feet
Height of swimming pool is 3 feet
Step:1
Formula for volume of cylinder is,
[tex]Volume, V=\pi r^{2} h[/tex]........................(1)
Where, r - Radius
h - Height
Formula for radius,
[tex]r=\frac{d}{2}[/tex]
= [tex]\frac{16}{2}[/tex]
r = 8 feet
Step:2
From equation (1)
[tex]= \pi (8^{2} )(3)[/tex]
[tex]= \pi (64)(3)[/tex]
[tex]= \pi (192)[/tex]
V [tex]= 603.185[/tex] cubic feet
Step:3
From given ( 1 cubic feet = 7.5 gallons )
[tex]V = (603.185)(7.5)[/tex]
[tex]= 4523.88[/tex]
V ≅ 4524 gallons
Result:
The cylindrical swimming pool contain 4512 gallons of water, if a pool diameter has a diameter of 16 feet and a height of 3 feet.