Question

raza si generatoarea unui cilindru circular drept sunt invers proportionale cu 0.5 si 0.(3). daca aria laterala a ciindrului e 108pi cm2 aflati Raza, Generatoarea

Answer 1

avem relatiile"
{r;G} ip {1/2;1/3} <=> r/2 =G/3=k si Al= 2pi*r*G
r=2k , G=3k . inlocuim:
2pi*2k*3k=108 pi
12k^2*pi=108 pi
k^2=9=> k=3 cm
r=2*3=6 cm
G=3*3=9cm 

Answer 2

 [tex]\Rightarrow\;\;R/2=G/3=k \;\;deci\;R=2k\;si\;G=3k\\ 2\not{\pi}{R}{G}=108\not{\pi}\rightarrow\;2*2k*3k=108\rightarrow\;k=\sqrt9=3\\ deci:\;R=6cm;lsi\;G=9cm\;[/tex]