Final answer:
The volume of a cone is calculated using the formula V = (1/3)πr²h, and the result is rounded to the nearest hundredth by considering the third decimal place for rounding guidelines.
Step-by-step explanation:
The volume of a cone can be found by using 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 round the answer to the nearest hundredth, one must calculate the volume first and then round the result to two decimal places.
For example, if the cone has a radius of 5 units and a height of 12 units, the calculation would be V = (1/3)π(5²)(12) ≈ 157.08 cubic units. This formula represents the cone's base area multiplied by its height and then divided by 3.
If you have the measurements for the radius and height of the cone, you can substitute them into the formula and calculate the volume. Afterward, look at the third decimal place to determine how to round the number in the hundredth place. If the third decimal place is 5 or greater, round up; if it is less, round down.