Final answer:
The curved surface area of the cone will increase by 10% . Therefore, the correct answer is (A).
Step-by-step explanation:
To find the increase in the curved surface area of a cone when the slant height is increased by 10% while the radius remains the same, we need to understand the relationship between the slant height, radius, and curved surface area of a cone.
The curved surface area of a cone is given by the formula A = πrl, where r is the radius and l is the slant height. Since the radius remains the same, the increase in slant height will result in a proportionate increase in the curved surface area. Therefore, the curved surface area will increase by 10%. Therefore, the correct answer is (A) 10%.