Respuesta :

A cylinder has volume V=pir^2h
use r=8/2=4
v=16*12pi
This is true because the circle has Area pi*r^2 and it is being potruded thru a distance h to make a cylinder if you can visualize that.

Answer:

The volume of a cylinder be [tex]192\pi[/tex] .

Option (B) is correct.    

Step-by-step explanation:

Formula

[tex]Volume\ of\ a\ cylinder = 2\pi r^{2} h[/tex]

Where r is the radius of a cylinder .

As given

if it has a diameter of 8 and a height of 12.

[tex]r = \frac{8}{2}[/tex]

r = 4 units

h = 12 unit

Putting in the formula

[tex]Volume\ of\ a\ cylinder = \pi\times 4\times 4\times 12[/tex]

[tex]Volume\ of\ a\ cylinder = 192\pi[/tex]                

Therefore the volume of a cylinder be [tex]192\pi[/tex] .

Option (B) is correct.