High School

The volume of a cylinder is [tex]176\pi \, \text{cm}^3[/tex] and its height is 11 cm. What is the length of the cylinder's radius?

Answer :

Answer:

[tex]r=4\ cm[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

in this problem we have

[tex]V=176\pi\ cm^{3}[/tex]

[tex]h=11\ cm[/tex]

Substitute and solve for r

[tex]176\pi=\pi r^{2}(11)[/tex]

simplify

[tex]r^{2}=16[/tex]

[tex]r=4\ cm[/tex]
V = pi r^2 h

176 pi = pi r^2 * 11

r = 4

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