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Atanasia
a fost răspuns

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

Răspuns :

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

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