Respuesta :
Answer:
The pool can contain 4521.6 gallons of water.
Step-by-step explanation:
Given:
The diameter of the cylindrical swimming pool = 16 feet.
And the height of the cylindrical swimming pool = 3 feet.
(1 ft³ = 7.5 gallons)
Now, to find the gallons of water the pool can contain.
So, we find the radius first:
Radius (r) = [tex]\frac{Diameter}{2}[/tex] = [tex]\frac{16}{2} =8\ feet.[/tex]
Height (h) = 3 feet.
Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):
[tex]Volume=\pi r^2h[/tex]
[tex]Volume=3.14\times 8^2\times 3[/tex]
[tex]Volume=3.14\times 64\times 3[/tex]
[tex]Volume=602.88\ feet^3.[/tex]
Thus, getting the volume of pool 602.88 feet³.
As, given 1 ft³ = 7.5 gallons.
Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:
[tex]602.88\times 7.5[/tex]
[tex]=4521.6\ gallons.[/tex]
Therefore, the pool can contain 4521.6 gallons of water.
