Question

1Un con circular drept are R=6 cm si Alaterala=60π cm patrati.Calculati volumul conului.
2.un con circular drept are Alaterala=65π cm patrati si Atotala=90π cm patrati .Calculati volumul conului

Urgent ,va rog!! Mersii dau 30 puncte

Answer 1

Al=aria laterala
G=generatoare
h=inaltime
R=raza
Al=pi RG
60pi=6piG  =>G=10
  
h patrat=Gpatrat-R patrat
h patrat=100-36=64
h=8
V=piR patrat*h\3=36pi*8\3=96 cm cubi

2)
Ab=At-Al=90pi-65pi=25pi
Ab=pi Rpatrat
25 pi=pi R patrat  =>Rpatrat=25
R=5
Al=piRG
65pi=5pi*G   => G=13

hpatrat =Gpatrat-Rpatrat=13 patrat -5 patrat=169-25=144
h=radical 144=12
V=pi Rpatrat*h\3=pi 5 patrat*12\3=100 pi