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 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

Answer 2

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.