Step 1. The information that we are given is:
• The height of the cylinder:
![h=14cm](https://img.qammunity.org/2023/formulas/mathematics/college/1hi88gxtrkzj358q0gbbwiihtscohwkt69.png)
• The radius of the cylinder:
![r=9cm](https://img.qammunity.org/2023/formulas/mathematics/college/72y7h2mlo4gidr3w1par5zpaxra9tpfzzx.png)
• The value that we need to use for pi is:
![\pi=3.14](https://img.qammunity.org/2023/formulas/mathematics/college/gx0kiowginhhav5d7bg33l7a39ib13qpai.png)
Step 2. To find the volume of a cylinder we use this formula:
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
Substituting the known values:
![V=(3.14)(9cm)^2(14cm)](https://img.qammunity.org/2023/formulas/mathematics/college/237vjlykmvzgrvdcmsnrge7mn0ncq2yl6p.png)
Step 3. Solving the operations:
![\begin{gathered} V=(3.14)(81cm^2)(14cm) \\ \downarrow \\ V=3,560.76cm^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gor048uvafm3hj5cdm2vt9tnloc2elqi35.png)
The result is already rounded to the nearest hundredth.
Answer:
![3,560.76\text{ cubic centimeters}](https://img.qammunity.org/2023/formulas/mathematics/college/bdlehbu9bamv65kd6y055wded4rj5wnfdo.png)