Calculating the Volume of a Cone
To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius of the base of the cone, and \( h \) is the height of the cone.
Given that the radius \( r = 3 \) cm and the height \( h = 4 \) cm, you can plug these values into the formula:
\[ V = \frac{1}{3} \pi (3\, \text{cm})^2 (4\, \text{cm}) \]
\[ V = \frac{1}{3} \pi \cdot 9\, \text{cm}^2 \cdot 4\, \text{cm} \]
\[ V = \frac{1}{3} \pi \cdot 36\, \text{cm}^3 \]
\[ V = 12 \pi\, \text{cm}^3 \]
So the volume of the cone is \( 12 \pi \) cubic centimeters.
