Final answer:
Upon doubling both the radius and the slant height of a right circular cone, the new surface area will be 4 times the original surface area, resulting in 96π in².
Step-by-step explanation:
The surface area of a right circular cone includes both the base area and the lateral (side) area. The formula for the total surface area is S = πr(r + l), where r is the radius and l is the slant height. If both the radius and the slant height are doubled, the new surface area S' can be found by plugging the new values into the formula, leading to S' = π(2r)(2r + 2l). This simplifies to S' = 4πr(r + l). Since we know the original surface area is 24π in², the new surface area after doubling would be 4 times the original, which is 96π in².