Verified Answer :

HomertheGenius

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:

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

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