Question

aria bazei unui con circular drept este agala cu 36 pi cm patrati ear aria totala este 96 pi cm patrati sa se afle volumul conului

Answer 1

$\pi R^2=36 \pi ;R=6 \\ \pi R^2+ \pi RG=96 \pi ;36 \pi + \pi *6*G=96 \pi \\ 6G=60;G=10 \\ H= \sqrt{G^2-R^2}= \sqrt{100-36}=8 \\ V= \frac{1}{3}* \pi *R^2*H; \\ \fr V= \frac{1}{3}*36 \pi *8=96 \pi$

Answer 2

Abaza=πr² 
Abaza=36π  ⇒   r=√36=6 cm
Atotala=96π
Alaterala=96π-36π=60π
Alaterala=πrG  ⇒G=60π/6π=10 cm
h=√(10²-6²)=√(100-36)=√64=8 cm
Vcon=Abaza×h/3=36π×8/3=96π cm²
π≈3,14  ⇒V≈301,44 cm³