Answer:
The volume of cylinder is 602.88 in³.
Step-by-step Step-by-step explanation:
Here's the required formula to find the volume of cylinder :
![{\longrightarrow{\pmb{\sf{Volume_((Cylinder)) = \pi{r}^(2)h}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8vyzkew3f5lvmnjt56ya0dvpnak7o23jx6.png)
π ≈ 3.14
r = radius
h = height
Substituting all the given values in the formula to find the volume of cylinder :
![{\longrightarrow{\sf{Volume_((Cylinder)) = \pi{r}^(2)h}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3nknkj3go44kwdmxg0hckmhoyal15fyl3g.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(4)}^(2)12}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/r2oo1un4sn3t7d1hhe1zma5xhrpuedkwmp.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(4 * 4)}12}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/iorpschqg8r42inq6xfuh6dmcmmrbzxw79.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(16)}12}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9ordftm101gh9i141unqy2n605jc2wbpxj.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14 * 16 * 12}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ojtpzey5kq7jpr0wx0u28av3jc4ewvq7pa.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) = 50.24 * 12}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/89td7575d1kkttqi2ncp5u5x6m8rdrx6m2.png)
![{\longrightarrow{\sf{Volume_((Cylinder)) \approx 602.88}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3qfcm6ki8jvlfa1r8uthml75ps4ohpdvk6.png)
![\star{\underline{\boxed{\sf{\red{Volume_((Cylinder)) \approx 602.88 \: {in}^(3)}}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/cyowe8ixbffgico3xnwfz26lvgkm9bq4qp.png)
Hence, the volume of cylinder is 602.88 in³.
![\rule{300}{2.5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4wr5wvuxv3n1yp1b1sykhxf527peu2ltxm.png)