Respuesta :

Answer:

[tex]314.2cm^3[/tex]

Step-by-step explanation:

We use the formula below to find the volume:

[tex]\pi r^2\frac{h}{3}[/tex]

Note:

  • r represents the radius
  • h represents the height of the cone

Simplify:

[tex]\pi 5^2\frac{12}{3}[/tex]

Solve the exponent first, then multiply the fraction:

[tex]\pi 5^2\frac{12}{3} \\\\ 5^2 = 25\\\\ 12/3 = 4\\\\ 25 * 4 = 100\\\\ 100\pi = 314.159[/tex]

Round:

314.15 -> 314.2

Our answer would be [tex]314.2cm^3[/tex]

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