ΔSOB: ∠O = 90°, ∠B = 30°, OB = 6 см,
cos 30° = OB/SB ⇒ SB = OB/cos 30° = 6 / (√3/2) = 12/√3 = 4√3 см - образующая.
1)
ΔASB: AS = SB = 4√3, ∠ASB = 60° ⇒ Sasb = 1/2 * SA* SB * sin 60° =
=1/2 * 4√3 * 4√3 * √3/2 = 12√3 см²
2)
Sбок = πRL = π*OB*SB = π*6*4√3 = 24√3π (cм²)