Solution:
The volume of a cone can be calculated using the formula:\[ \text{Volume} = \frac{1}{3} \pi r^2 h \]Where $$ r $$ is the radius of the base of the cone and $$ h $$ is the height of the cone.For a cone with a height $$ h = 20 $$ cm and a base radius $$ r = 10 $$ cm, we can plug these values into the formula to get the volume:\[ \text{Volume} = \frac{1}{3} \pi \times (10 \text{ cm})^2 \times 20 \text{ cm} \]The correct formula to use for the calculation, based on the given information and the options provided in the image, is the third one:\[ \boxed{\frac{1}{3} \pi \times (10 \times 10) \times 20} \]