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Answer:

19.1 ft³

Step-by-step explanation:

Hello!

Volume of a cylinder: [tex]V = \pi r^2h[/tex]

  • V = volume
  • π = pi (3,14)
  • r = radius
  • h = height

We can plug in the values and solve.

Solve

  • [tex]V = \pi r^2 h[/tex]
  • [tex]V = (3.14)(1.5)^2(2.7)[/tex]
  • [tex]V = (3.14)(2.25)(2.7)[/tex]
  • [tex]V = 19.0755 \approx 19.1[/tex]

The volume is approximately 19.1ft³

Step-by-step explanation:

[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]

  • [tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex]
  • [tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex]

[tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]

  • [tex] \sf Volume_{\blue{cylinder}}=?[/tex]

[tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]

We know that,

[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]

[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]

[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]

[tex]\longmapsto \sf 3.14×6.075[/tex]

[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]