Question

Fie un cilindru circular drept!
Stim Aria laterala =192Π iar Volumul =1152Π
Calculati raza,inaltimea si aria totala!
Repede va rog!

Answer 1

 $A_l=\underbrace{2\pi{RG}=192\pi\;|_{:2\pi}}\rightarrow\;R*G=96$
[tex]V=\pi\cdot{R}^2\cdot{G}=1152\pi\;\;|_{:\pi}\;\rightarrow\;R\cdot96=1152\;\rightarrow\\
\fbox{R=12}\;;\\
[/tex]$\rightarrow\;12\cdot{G}=96\;...\;G=h=96:12=8\;deci\\ \fbox{h=8}$
$A_t=A_l+{2A_b}=192\pi+2\cdot\pi\cdot12^2=192\pi+288\pi=480\pi\;;\\ \fbox{A_t=480\pi}$