Answer:
The volume of cylinder is 48 cm³.
Step-by-step explanation :
Solution :
Here's the required formula to find the volume of cylinder :
[tex]\implies{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]
- ➝ V = Volume
- ➝ π = 3
- ➝ r = radius
- ➝ h = height
Substituting all the given values in the formula to find the volume of cylinder ;
[tex]\implies{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} = 3{(4)}^{2}1}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} = 3{(4 \times 4)}1}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} = 3{(16)}1}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} = 3 \times 16 \times 1}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} = 3 \times 16}}[/tex]
[tex]\implies{\sf{Volume_{(Cylinder)} =48}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} =48 \: {cm}^{3}}}}}}[/tex]
Hence, the volume of cylinder is 48 cm³.
[tex]\rule{300}{2.5}[/tex]