Final answer:
The volume of the cylinder is approximately 1356.2 cubic centimeters.
Step-by-step explanation:
The volume of a cylinder can be calculated using the formula V = πr²h. In this case, the height is given as 12 centimeters, and the base radius is 6 centimeters.
Plugging in these values into the formula, we get:
V = 3.142 × (6 cm)² × 12 cm = 1356.192 cm³
Rounding to the nearest tenths place, the volume is approximately 1356.2 cubic centimeters.