Answer:
The answer is V ≈ [36] in³.
Step-by-step Step-by-step explanation:
![\large{\tt{\underline{\underline{\purple{SOLUTION}}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/zhqeh7vmzdbrmbdcrm5ek3y41y2pggy0wr.png)
Here's the required formula to find the volume of cylinder :
![\implies{\pmb{\sf{V_((Cylinder)) = \pi{r}^(2)h}}}](https://img.qammunity.org/2023/formulas/mathematics/college/ujqpotdebdst3feh75tyr1i1fumnzktyk6.png)
- ➝ V = Volume
- ➝ π = 3
- ➝ r = radius
- ➝ h = height
Substituting all the given values in the formula to find the volume of cylinder ;
![\implies{\sf{Volume_((Cylinder)) = \pi{r}^(2)h}}](https://img.qammunity.org/2023/formulas/mathematics/college/runb38xndka7kvwwdqdjcnliehi0fv7pdh.png)
![\implies{\sf{Volume_((Cylinder)) = 3{(2)}^(2)3}}](https://img.qammunity.org/2023/formulas/mathematics/college/l9sff3bybx1jjm5nfi09iejeb76q93ypfp.png)
![{\implies{\sf{Volume_((Cylinder)) = 3{(2 * 2)}3}}}](https://img.qammunity.org/2023/formulas/mathematics/college/olzyn4zidpijm7ixc2x1wlopc0mcnuyyb8.png)
![{\implies{\sf{Volume_((Cylinder)) = 3{(4)}3}}}](https://img.qammunity.org/2023/formulas/mathematics/college/eikrkd02m8zy0r19aohzgsalg16d5ajqbp.png)
![{\implies{\sf{Volume_((Cylinder)) = 3 * 4 * 3}}}](https://img.qammunity.org/2023/formulas/mathematics/college/dfwi4nth1tc463wie6z26b4uu1s4oj5cja.png)
![{\implies{\sf{Volume_((Cylinder)) = 3 * 12}}}](https://img.qammunity.org/2023/formulas/mathematics/college/cj97dl5vd61lqizd4kwi92qowvgzy4n0rm.png)
![{\implies{\sf{Volume_((Cylinder)) \approx 36}}}](https://img.qammunity.org/2023/formulas/mathematics/college/vku4gb370ylimn73ioryfgd4yfsehyii7d.png)
![\star{\underline{\boxed{\sf{\red{Volume_((Cylinder)) \approx 36\: {in}^(3)}}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/ztno3gv725vp4tsrvg0o6gl39lwmhj6iyz.png)
Hence, the volume of cylinder is 36 in³.
![\rule{300}{2.5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4wr5wvuxv3n1yp1b1sykhxf527peu2ltxm.png)