Respuesta :

Answer:

  • A) The radius is 4 m

Step-by-step explanation:

Volume of cylinder formula:

  • V = πr²h

Given

  • V = 64π,
  • h = 4 m

Find r by substituting given values:

  • 64π = πr²*4
  • 64π = 4r²π
  • 16 = r²
  • r = √16
  • r = 4 m

Correct choice is A.

Answer:

radius, r = 4 meters

Volume of cylinder:

  • [tex]\sf V = \pi (radius)^2 (height)[/tex]

Here provided with:

  • radius = ?
  • height = 4 m
  • volume = 64π

Substituting these values in the formula:

[tex]\sf \rightarrow \pi (r)^2 (4) = 64\pi[/tex]

[tex]\sf \rightarrow 4\pi (r)^2 = 64\pi[/tex]

[tex]\sf \rightarrow r^2 = 64\pi /4\pi[/tex]

[tex]\sf \rightarrow r^2 =16[/tex]

[tex]\sf \rightarrow r=\sqrt{16} = 4[/tex]