Answer:
The length of the cylinder's radius is, 4 cm
Step-by-step explanation:
Volume(V) of the cylinder is given by:
[tex]V = \pi r^2h[/tex] .....[1]
where,
r is the radius and h is the height of the cylinder.
As per the statement:
The volume of a cylinder is 176π cm³ and its height is 11 cm
⇒V = 176π cm³ and h = 11 cm
Substitute the given values in [1] we have;
[tex]176 \pi = \pi r^2 \cdot 11[/tex]
Divide both sides by [tex]11 \pi[/tex] we have;
[tex]16 = r^2[/tex]
or
[tex]r^2 = 16[/tex]
⇒[tex]r = \sqrt{16} =4 cm[/tex]
Therefore, the length of the cylinder's radius is, 4 cm
