Question

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

Answer 1

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:

• 
  `r\:=\:\sqrt{(v)/(\pi \:h)}`

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

`r\:=\:\sqrt{(v)/(\pi \:h)}`

Thus, the formula of the radius of the cylinder.

`r\:=\:\sqrt{(v)/(\pi \:h)}`

Therefore, the radius of the cylinder:

• 
  `r\:=\:\sqrt{(v)/(\pi \:h)}`