Lateral Cone Area = PI * radius * slant height
slant height ^ 2 = 6^2 + 10^2
slant height ^ 2 = 36 + 100
slant height ^ 2 = 136
slant height ^ 2 = 11.6619037897
Lateral Cone Area = PI * 6 * 11.66
Lateral Cone Area = 219.6744
That's my calculation and I used an online calculator which says the same thing. It is NOT one of the choices.
online calculator 1728.com/volcone.htm