"Lateral Area" = πr ℓ
color(white)("Lateral Area") = 22/7 × "6 cm × 13 cm"
color(white)("Lateral Area") = 245.1\ "cm"^2
"Surface Area" = πr(r + ℓ)
color(white)("Surface Area") = 22/7 × "6 cm" × ("6 cm + 13 cm")
color(white)("Surface Area") = 132/7\ "cm" × "19 cm"
color(white)("Surface Area") = 358.3\ "cm"^2