Answer:
The pool can contain <u>4521.6 gallons</u> 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) =
= ![\frac{16}{2} =8\ feet.](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B2%7D%20%3D8%5C%20feet.)
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):
![Volume=\pi r^2h](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20r%5E2h)
![Volume=3.14\times 8^2\times 3](https://tex.z-dn.net/?f=Volume%3D3.14%5Ctimes%208%5E2%5Ctimes%203)
![Volume=3.14\times 64\times 3](https://tex.z-dn.net/?f=Volume%3D3.14%5Ctimes%2064%5Ctimes%203)
![Volume=602.88\ feet^3.](https://tex.z-dn.net/?f=Volume%3D602.88%5C%20feet%5E3.)
<em>Thus, getting the volume of pool 602.88 feet³.</em>
<em>As, given 1 ft³ = 7.5 gallons</em>.
Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:
![602.88\times 7.5](https://tex.z-dn.net/?f=602.88%5Ctimes%207.5)
![=4521.6\ gallons.](https://tex.z-dn.net/?f=%3D4521.6%5C%20gallons.)
Therefore, the pool can contain <u>4521.6 gallons</u> of water.