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:
![V=(\pi r^2h)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/9z47kdea5y3vjrzigibnfunbjupq8e09t9.png)
Where:
r is the radius = 5 cm
h is the height = 12 cm
Thus, we have:
![\begin{gathered} V=(\pi *5^2*12)/(3) \\ \\ V=(\pi *25*12)/(3) \\ \\ V=(300\pi)/(3) \\ \\ V=100\pi \\ \\ V=314.2\text{ cm}^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/i4nahebfqw5y6p4rhqcxi24mejpwh62ssj.png)
Therefore, the volume of the cone is 314.2 cubic centimeters.
ANSWER:
314.2 cm³