Step-by-step explanation
The volume of the cylinder is given as;
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
Recall that the radius of the cylinder is given as 3 inches while the height of the cylinder is three times the radius.
![\text{Height}=\text{ 3}* radius=3*3=9inches](https://img.qammunity.org/2023/formulas/mathematics/college/tp4r05b9h3duvosgmx3ga23ocqhois9eqf.png)
Therefore, the volume of the cylinder becomes;
![V=\pi*3*3*9=81\pi=254.47\text{ cubic inches}](https://img.qammunity.org/2023/formulas/mathematics/college/gtp42dhi6lnoju8nnns7ue5cudsysqo94y.png)
Answer: 254.5 cubic inches