Question

1. Cilindrul circular drept din figura alaturata are R=3cm si inaltimea h=OO'=8cm.Calculati:
a) At ; b) V ; C) OB' ; d) d=AB'

Answer 1

R = raza
H = inaltime
G = generatoare

R = 3 cm
H = G = 8 cm
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At = 2πRG
At = 2π · 3 · 8
At = 48 π cm²

V = πR²H
V = 9π · 8
V = 72π cm³

OB' = raza = 3 cm

Diagonala = AB'
ΔABB' : B = 90°
AB'² = AB² + BB'²
BB' = G = 8 cm
AB² = diametru = 2 · R = 6 cm
AB'² = 6² + 8²
AB'² = 100
AB' = 10 cm