Question - Calculating the Volume of a Cone
Solution:
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.
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