Respuesta :

Given:

Height of cone = 12 cm

Radius = 5 cm

Let's find the volume of the cone.

To find the volume of the cone, apply the formula:

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

Where:

r is the radius = 5 cm

h is the height = 12 cm

Thus, we have:

[tex]\begin{gathered} V=\frac{\pi *5^2*12}{3} \\ \\ V=\frac{\pi *25*12}{3} \\ \\ V=\frac{300\pi}{3} \\ \\ V=100\pi \\ \\ V=314.2\text{ cm}^3 \end{gathered}[/tex]

Therefore, the volume of the cone is 314.2 cubic centimeters.

ANSWER:

314.2 cm³

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