A laterala = π×r×g = 72π cm
A totala = πr×(r + g) =108π cm
A totala = Alat +A bazei⇒ A bazei = A totala - A lat
A bazei = 108π - 72π = 36π dar A bazei = πr²
36 π = πr²
r² = 36⇒ r=√36 = 6 cm
dar A lat = π×r×g = 72π r×g =72 6×g =72 ⇒g = 72 :6 = 12 cm
Aplicam Pitagora (ipotenuza = generatoarea, cateta 1 raza si inaltimea cateta 2)
h con =√(g² - r²)=√(12²-6²)=√(144-36)=√108= 6√3 cm
V con = (π×r²×h)/3=(π×6²×6√3)/3=72√3 π cm³
