pole powierzchni calkowitej kuli wynosi 256pi oblicz objetosc kuli

Pc = 4πr² V = 4/3 πr³ 4πr² = 256π 4r² = 256 | :4 r² = 64 | √ r = 8 V = 4/3 π8³ V = 4/3 π512 V = 2048/3 π 

[latex]V=frac{4}{3}pi r^3\\ P=4pi r^2=256pi\\ 4r^2=256\\ r^2=64 Rightarrow r=8 vee r=-8 eq D\\ V=frac{4}{3}picdot8^3=frac{4}{3}picdot512=frac{2048}{3}pi=682frac{1}{3}pi[/latex]