Answer:
surface area = 8704.08 cm²
Step-by-step explanation:
The surface area of a cone is given by the formula;
SA = πr² + πrL
Where r is radius and L is slant height
We are given;
Diameter = 24cm
Slant height; L = 41 cm
We are told that this new cone has a diameter that is triple of the one given.
Thus, new diameter = 24 x 3 = 72 cm
Thus, Radius; r = 72/2 = 36 cm
SA = π(36)² + π(36)(41)
SA = (3.14 * 1296) + (3.14 * 1476)
SA = 8704.08 cm²
