Respuesta :

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

  • ➟ Height of cylinder = 8 m
  • ➟ Radius of cylinder = 3.8 m

We need to find the volume of cylinder :

  • ➟ Volume of cylinder = πr²h

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)} = \pi{(3.8)}^{2}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]

[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 115.52 m³.

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