Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot

Respuesta :

Answer:[tex]V=942.6\ ft^3[/tex]

Step-by-step explanation:

Given

Diameter of swimming pool is [tex]d=20\ ft\quad \quad (\text{radius}\ r=10\ ft)[/tex]

Russell fills it to a depth of [tex]h=3\ ft[/tex]

If the pool is in the shape of cylinder then its volume is given by

[tex]V=\pi \times r^2\times h[/tex]

[tex]V=\pi \times (10)^2\times 3[/tex]

[tex]V=942.6\ ft^3[/tex]