[tex]Zad. 1\\\text{walec, stozek, kula}\\\\Zad. 2\\\text{Odcinek SB to promien}\\\text{Odcinek SC to wysokosc}\\\text{Odcinek CB to tworzaca}[/tex]
[tex]Zad. 3\\r=4cm\\H=14cm\\\\Pp=\pi r^2\\Pp=16\pi cm^2\\\\V=Pp*H\\V=16\pi cm^2*14cm=224\pi cm^3\\\\Pb=2\pi rH\\Pb=2\pi*4cm*14cm=8\pi cm*14cm=112\pi cm^2\\Pc=2Pp+Pb\\Pc=2*16\pi cm^2+112\pi cm^2=32\pi cm^2+112\pi cm^2=144\pi cm^2[/tex]
[tex]Zad. 4\\d=14cm\\r=\frac{14cm}2=7cm\\\\l - \text{niewidoczne, ale zakladam ze bedzie 10 lub 16cm}\\\\\underline{I. \text{ Dla l = 10cm}\\}\\\\r^2+H^2=l^2\\(7cm)^2+H^2=(10cm)^2\\49cm^2+H^2=100cm^2\\H^2=51cm^2\\H=\sqrt{51}cm\\\\V=\frac13Pp*H\\Pp=49\pi cm^2\\V=\frac13*49\pi cm^2*\sqrt{51}cm=\frac{49\sqrt{51}\pi}3cm^3[/tex]
[tex]\underline{II. \text{ Dla l=16cm}}\\(7cm)^2+H^2=(16cm)^2\\49cm^2+H^2=256cm^2\\H^2=207cm^2\\H=3\sqrt{23}cm\\\\V=\frac13*49\pi cm^2*3\sqrt{23}cm=49\sqrt{23}\pi cm^3[/tex]
[tex]Zad. 5\\d=18cm\\r=\frac{18}2cm=9cm\\\\Pc=4\pi r^2\\Pc=4\pi * (9cm)^2=4\pi*81cm^2=324\pi cm^2[/tex]
