Answer:
The answer is [tex]\bf{V \approx \Big[62.80\Big] \: {in}^{3}}[/tex].
Step-by-step explanation:
[tex]\large\star \: {\tt{\underline{\underline{\red{SOLUTION}}}}}[/tex]
As per given data we have :
- [tex]\small\pink\bull[/tex] Radius of cylinder = 2 in
- [tex]\small\pink\bull[/tex] Height of cylinder = 5 in
We need to find the volume of cylinder.
Here's the required formula to find the volume of cylinder :
[tex]\longrightarrow{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]
- [tex]\blue\star[/tex] V = Volume
- [tex]\blue\star[/tex] π = 3.14
- [tex]\blue\star[/tex] r = radius
- [tex]\blue\star[/tex] h = height
Substituting all the given values in the formula to find volume of cylinder :
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(2)}^{2}5}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} {(2 \times 2)}5}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} {(4)}5}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 4 \times 5}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 20}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 20}{100}}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{6280}{100}}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)} \approx 62.80 }}[/tex]
[tex]\star\underline{\boxed{\sf{\purple{Volume_{(Cylinder)} \approx 62.80 \: {in}^{3}}}}}[/tex]
Hence, the volume of cylinder is 62.80 in³.
[tex]\rule{300}{2.5}[/tex]
