Question

The volume of a cylinder is 176π cm³ and its height is 11 cm.

What is the length of the cylinder's radius?

Answer 1

The volume of a cylinder:
V = r² π h
176 π = r² π h    / : π
176 = r²  · 11
r² = 176 : 11
r² = 16
r = √ 16
Answer:  r = 4 cm.
 

Answer 2

Answer:

The length of the cylinder's radius is, 4 cm

Step-by-step explanation:

Volume(V) of the cylinder is given by:

$V = \pi r^2h$          .....[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;

$176 \pi = \pi r^2 \cdot 11$

Divide both sides by $11 \pi$ we have;

$16 = r^2$

or

$r^2 = 16$

⇒$r = \sqrt{16} =4 cm$

Therefore, the length of the cylinder's radius is, 4 cm