edenbergstrom2004
edenbergstrom2004 edenbergstrom2004
  • 08-06-2020
  • Mathematics
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HELP!!!! Identify the volume of the composite figure rounded to the nearest tenth.

HELP Identify the volume of the composite figure rounded to the nearest tenth class=

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tonb
tonb tonb
  • 08-06-2020

Answer:

4618.1 ft³

Step-by-step explanation:

Volume of the cone:

[tex]V_{cone} = \frac13 \pi r^2 h[/tex]

[tex]V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi[/tex]

Volume of the cilinder:

[tex]V_{cilinder} = \pi r^2 h[/tex]

[tex]V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi[/tex]

Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³

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