Answer :
Answer:
[tex]\boxed{r=3cm}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the formula;
[tex]V=\pi \time r^2 h[/tex]
It was given that the volume of the cylinder, [tex]V=108\pi[/tex], and its height, [tex]h=12cm[/tex]
We substitute the given values into the formula to obtain;
[tex]108\pi=\pi\times r^2\times 12[/tex]
We divide through by [tex]12\pi[/tex] to obtain;
[tex]\frac{108\pi}{12\pi}=r^2[/tex]
[tex]\Rightarrow 9=r^2[/tex]
We take the positive square root of both sides to obtain;
[tex]\Rightarrow \sqrt{9}=r[/tex]
[tex]3=r[/tex]
[tex]r=3cm[/tex]
Therefore the length of the cylinder's radius is 3cm.
Answer:
the radius is 3 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi *r^2 h
We know the volume = 108 *pi and the height = 12
Substituting into the equation
108 * pi = pi * r^2 * 12
Divide each side by pi
108 * pi/pi = pi/pi * r^2 * 12
108 = r^2 * 12
Divide each side by 12
108/12 = r^2*12/12
9 = r^2
Take the square root of each side
sqrt(9) = sqrt(r^2)
3 = r