Answer:
The volume of cylinder is 314000 ft³.
Step-by-step explanation:
Solution :
Here we have given that :
- [tex]\pink\star[/tex] Height of cylinder = 40 ft
- [tex]\pink\star[/tex] Diameter of cylinder = 100 ft
- [tex]\pink\star[/tex] Radius of cylinder = 100/2 = 50 ft
We need to find the volume of cylinder.
Here's the required formula to find volume of cylinder :
[tex]\longrightarrow{\pmb{\sf{Volume_{(Cylinder)}= \pi{r}^{2}h}}}[/tex]
- [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 the volume of cylinder :
[tex]\longrightarrow{\sf{Volume_{(Cylinder)}= \pi{r}^{2}h}}[/tex]
[tex]\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(50)}^{2}40}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(50 \times 50)}40}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(2500)}40}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14 \times 2500 \times 40}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14 \times 100000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{314}{100} \times 100000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{314 \times 100000}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{31400000}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 314000 \: {ft}^{3}}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{Volume_{(Cylinder)}= 314000 \: {ft}^{3}}}}}}[/tex]
Hence, the volume of cylinder is 314000 ft³.
[tex]\rule{300}{2.5}[/tex]
