Respuesta :

Answer:

2412.7 ft^3

Step-by-step explanation:

If a circle has a diameter 16ft, it's radius is half that, or 8ft. The are of the circle/base of the cylinder is given by the formula [tex]\pi r^2[/tex] where r is the radius. This means the area is 64π ft^2.

To find the volume of a cylinder, you multiply the base area and the height, so the volume would be 64π x 12 which is 2412.74315796. When rounded to the nearest tenth, this is 2412.7.

Since we want to find the volume of a cylinder:

 ⇒ must know the formula: [tex]V = \pi r^2h[/tex]

  • r: radius
  • h: height

Consider the information given:

  • Height: 12 ft
  • Diameter: 16 ft  ⇒ Radius: 8 ft  (radius is half of the diameter)

Let's solve:

  [tex]V = \pi r^2*h=3.14*(8)^2*12=2411.52_.cm^3[/tex]

Answer: 2411.5 cm³

Hope that helps!

ACCESS MORE