The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.
Which formula can be used to determine the radius of the cylinder

Respuesta :

Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.

Answer:

The radius of the cylinder:

  • [tex]r\:=\:\sqrt{\frac{v}{\pi \:h}}[/tex]

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

  • r is the radius
  • h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

[tex]r\:=\:\sqrt{\frac{v}{\pi \:h}}[/tex]

Thus, the formula of the radius of the cylinder.

[tex]r\:=\:\sqrt{\frac{v}{\pi \:h}}[/tex]

Therefore, the radius of the cylinder:

  • [tex]r\:=\:\sqrt{\frac{v}{\pi \:h}}[/tex]