Question

Un vas in forma de cilindru circular drept are aria laterala 96Π dm2 si volumul este 192Π dm3.
Aflati raza si generatoarea
Aflati aria totala

Answer 1

[tex]A_l=2\pi r g=96\ dm^2\\ V=\pi r^2g=192\ dm^3\\ \text{ Impartim cele doua relatii}\\ \frac{2}{r}=\frac{1}{2\ dm}\Rightarrow r=4\ dm\\ \text{Inlocuim in prima relatie: }\\ 4\pi g=96\Rightarrow g=\frac{24}{\pi}\\ A_b=\pi r^2=16 \pi \ dm^2\\ A_t=A_l+2A_b=96\pi +2\cdot16\pi=128\pi\ dm^2[/tex]