Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 384 \ ft^3}}[/tex]

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

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

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

  • r= 4 ft
  • h= 8 ft
  • π= 3

Substitute the values into the formula.

[tex]V= (3)(4 \ ft)^2 (8 \ ft)[/tex]

Solve the exponent.

  • (4 ft)²= 4 ft * 4 ft = 16 ft²

[tex]V= (3)(16 \ ft^2)(8 \ ft)[/tex]

Multiply the three numbers together.

[tex]V= 48 \ ft^2 (8 \ ft)[/tex]

[tex]V= 384 \ ft^3[/tex]

The volume of the cylinder is approximately 384 cubic feet.