1. Olicz pole powierzchni i objętość kuli o podanym ptomieniu a) 4 1/2 cm   2. Olicz promień kuli o podanej objętości a) 4 frac {1}{2} pi cm^{3} b) 166 frac {2}{3} pi cm^{3}  

Zad.1 [latex]R= 4 frac{1}{2} cm\P=4Pi R^2\P=4Picdot(4frac{1}{2})^2=4Picdot(frac{9}{2})^2=4Picdotfrac{81}{4}=81Pi cm^2\V=frac{4}{3}Pi R^3 [/latex] [latex]V=frac{4}{3}Pi cdot(frac{9}{2})^3=frac{4}{3}Pi cdotfrac{729}{8}=frac{243}{2}Pi=121frac{1}{2}Pi cm^3[/latex]   Zad.2 a)[latex] V=4 frac {1}{2} pi cm^{3}=frac{9}{2}pi cm^3\frac{4}{3}pi R^3=frac{9}{2}pi/:frac{4}3}pi\R^3=frac{9}{2}cdotfrac{3}{4}\R^3=frac{27}{8}\R=frac{3}{2}cm[/latex]   b)[latex]V=166 frac {2}{3} pi cm^{3}=frac{500}{3}pi cm^3\frac{4}{3}pi R^3=frac{500}{3}pi/:frac{4}{3}pi\R^3=frac{500}{3}cdotfrac{3}{4}\R^3=frac{500}{4}\\R=sqrt[3]{frac{500}{4}}\\R=frac{5sqrt[3]{4}}{sqrt[3]{4}=5cm[/latex]