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

What is the length of the cylinder's radius?

2 Answers

4 votes

Answer:

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

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 = √(16) =4 cm

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

User Greg Malcolm
by
8.2k points
4 votes
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.
User Oinak
by
8.0k points