Question

un con circular drept are aria laterala 80 π cm² si aria totala 144π cm². Aflati volumul si inaltimea conului

Answer 1

Al = π*R*G = 80π =>R*G=80   (1)
At= Al+Ab= π*R*G+ π*R² =π(R*G+R²)=144π => R*G+R²=144   (2)

Ecuatia (2) - Ecuatia (1) => R² = 64 =>R=8
R*G=80 => G=10

h=√G²-R²=√100-64=√36=6
Volum = πR²h/3=π*64*6/3=128π