[latex]P_b=96pi\ 2pi rH=96pi \ rH=48[/latex] [latex]V=180pi\ pi r^2 H = 180pi\ r^2 H = 180\ rh cdot r = 180\ 48 cdot r = 180\ r=3,75[/latex] [latex]3,75 cdot H = 48\ H=12,8[/latex] [latex]P_c=2pi r^2 + 2pi r H\ P_c=2pi 3,75^2 +2pi 3,75 cdot 12,8 = 28,125pi + 96pi = 124,125pi[/latex]
Pole powierzchni bocznej walca: [latex]P_b=2pi rh=96pi\rh=48\h=frac{48}{r}[/latex] Objętość walca: [latex]V=pi r^2h=180pi\r^2h=180\frac{r^2cdot48}{r}=180\48r=180\r=3,75\h=frac{48}{3,75}=12,8[/latex] Pole podstawy: [latex]=P_p=pi r^2=pi(frac{15}{4})^2=frac{225pi}{16}\P_c=P_b+2P_p=96pi+frac{225pi}{8}=124,125pi[/latex]
