Final answer:
The radius of the automatic dog feeder cone can be calculated using the volume formula for a cone, substituting the given height and volume, and then rounding the result to the nearest centimeter.
Step-by-step explanation:
The volume of a cone is given by the formula V = 1/3 πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. To find the radius of an automatic dog feeder with a height of 18 cm and a volume of about 8,308 cm³, we can rearrange the formula to solve for r as follows: r = √((3V) / (πh)). Substituting the given values, we get r = √((3× 8,308) / (3.1415927× 18)). After calculating this expression, we round the result to the nearest centimeter to obtain the radius.