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[tex] \qquad \quad \large {\pmb{ \frak { \mid {\overline{ \underline{\purple{ \bigstar \: Required \: Answer \: \bigstar}}}}}} \mid}\\[/tex]

According to the attachment, we are given –

  • π = 3
  • Height of cylinder, h = 6cm
  • Radius of cylinder, r = 6cm

[tex]\qquad[/tex] [tex]\purple{{\twoheadrightarrow {\pmb{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}}}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cylinder)} = 3 \times {6}^2\times 6[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cylinder)} = 3 \times 36\times 6[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cylinder)} =18\times 36[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Volume_{(Cylinder)} =648 \: cm^3\\\\[/tex]

[tex]\therefore{\underline{\textsf{ Volume of cylinder is \textbf{648 cm³}}}} [/tex]

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AadhPrit

Answer:

The volume of cylinder is 648 cm³.

Step-by-step explanation:

Here's the required formula to find the volume of cylinder :

[tex] \longrightarrow{\pmb{\sf{V = \pi{r}^{2} h}}}[/tex]

  • [tex]\pink\star[/tex] V = Volume
  • [tex]\pink\star[/tex] π = 3
  • [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]\begin{gathered} \qquad{\longrightarrow{\sf{V = \pi{r}^{2}h}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(6)}^{2}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(6 \times 6)}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3{(36)}6}}}\\\\\qquad{\longrightarrow{\sf{V = 3\times 36 \times 6}}}\\\\ \qquad{\longrightarrow{\sf{V = 108 \times 6}}}\\\\ \qquad{\longrightarrow{\sf{\red{\underline{\underline{V \approx 648 \: {cm}^{3}}}}}}} \end{gathered}[/tex]

Hence, the volume of cylinder is 648 cm³.

[tex]\rule{300}{2.5}[/tex]