The correct answer is letter C. 868.30 cm^2 (centimeter squared)
See attached figure for reference of the two cones.
Solution:
Find first the radius.
To find the radius we must multiply 13.8 to 4.6 and multiply it by 3.7
Thus,
(13.8 / 4.6) x 3.7 = 11.1
To find the surface area of the larger cone we use this formula:
((pi x rad x slide length) + (pi x rad^2))
Where:
rad or radius = 11.1
slide length = 13.8
((pi x 11.1 x 13.8) + (pi x 11.1^2)) = 868.30 cm^2