Answer:
The volume of cylinder is 3617.28 mm³.
Step-by-step explanation:
Here's the required formula to find the volume of cylinder :
[tex]{\longrightarrow{\pmb{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}}[/tex]
- [tex]\pink\star[/tex] π ≈ 3.14
- [tex]\pink\star[/tex] r = radius
- [tex]\pink\star[/tex] h = height
Substituting all the given values in the formula to find the volume of cylinder :
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(12)}^{2}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(12 \times 12)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(144)}8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14\times 144 \times 8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 452.16\times 8}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3617.28}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{Volume_{(Cylinder)} = 3617.28 \: {mm}^{3}}}}}}[/tex]
Hence, the volume of cylinder is 3617.28 mm³.
[tex]\rule{300}{2.5}[/tex]