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3 years ago

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

2 answers:

7 0

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.

larisa86 [58]3 years ago

3 0

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;

$16 = r^2$

$r^2 = 16$

⇒ $r = \sqrt{16} =4 cm$

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

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