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α - kąt nachylenia = 30°
r - promień podstawy = ?
r/l = sin30° = 1/2
r = l * 1/2 = 6 * 1/2 = 3 cm
Pb -pole powierzchni bocznej stożka = πrl = π * 3 * 6 = 18π cm²
h - wysokość stożka =?
h/l = cos30° = √3/2
h = l * √3/2 = 6√3/2 = 3√3 cm
V - objętość stożka = 1/3 * πr² * h = 1/3 * π3² * 3√3 = 9π√3 cm³