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Answer :

Answer:

384π cm³

Step-by-step explanation:

Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—

  • r is radius
  • h is height

Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—

[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]

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Summary

  Volume (Cone)

[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—

h is height or perpendicular.

r is radius.

  Value of Pi (Commonly Used)

[tex]\displaystyle \large{\pi \approx 3.14}[/tex]

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If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!