Final answer:
The curved surface area of the cone is 140 cm², found by subtracting the base area from the total surface area.
Step-by-step explanation:
To find the curved surface area of a cone when given the area of the base and the total surface area, we can use the following method:
- First, we need to understand that the total surface area of a cone consists of the base area and the curved surface area.
- Since we know the base area is 110 cm² and the total surface area is 250 cm², we can subtract the base area from the total surface area to find the curved surface area.
- Subtracting, we get 250 cm² - 110 cm², which equals 140 cm².
Therefore, the curved surface area of the cone is 140 cm².