Question

Intr-un cilindru circular drept aria laterala este egala cu 12pi si volumul este egal cu 12pi.Aflati aria totala.

Answer 1

[tex] A_{l} =12 \pi \\ A_{l} = 2 \pi RG \\ 12 \pi = 2 \pi RG \\ R= \frac{12 \pi }{2 \pi G} \\ R= \frac{6 \pi }{G} \\ V= \pi R^{2} G \\ V=12 \pi \\ 12 \pi = \pi (\frac{6 \pi }{G}) ^{2} *G \\ 12 \pi = \frac{36 \pi }{G} \\ G=3 \\ R= \frac{6 \pi }{G} \\ R= \frac{6 \pi }{3} \\ R=2 \pi \\ A_{b} = \pi R^{2} \\ A_{b} = 4 \pi A_{t} = A_{l} +2 A_{b} \\ A_{t} = 12 \pi +2 *4 \pi \\ A_{t} = 20 \pi [/tex]