Respuesta :

Step 1. The information that we are given is:

• The height of the cylinder:

[tex]h=14cm[/tex]

• The radius of the cylinder:

[tex]r=9cm[/tex]

• The value that we need to use for pi is:

[tex]\pi=3.14[/tex]

Step 2. To find the volume of a cylinder we use this formula:

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

Substituting the known values:

[tex]V=(3.14)(9cm)^2(14cm)[/tex]

Step 3. Solving the operations:

[tex]\begin{gathered} V=(3.14)(81cm^2)(14cm) \\ \downarrow \\ V=3,560.76cm^3 \end{gathered}[/tex]

The result is already rounded to the nearest hundredth.

Answer:

[tex]3,560.76\text{ cubic centimeters}[/tex]

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