Oblicz objętość i pole powierzchni stożka o promieniu 4 cm i tworzącej 5 cm V=[latex] frac{1}{3} [/latex][latex] pi r^{2} [/latex]*h [latex] P_{c}= pi r(r+l) [/latex] [latex] P_{c}[/latex] = 3 * 4(4+5) = 3*36= 108 V=[latex] frac{1}{3} [/latex] * 3* [latex] 4^{2} [/latex]*3 V = 48 [latex] h^{2} + 4^{2} = 5^{2} [/latex] [latex] h^{2} + 16 = 25 [/latex] [latex] h^{2} =9 [/latex] h = 3 Oblicz objętośc i pole powierzchni stożka o promieniu 2 cm i i tworzącej 8 cm [latex] P_{c}= pi r(r+l) [/latex] [latex] P_{c}= 3* 2(2+8) [/latex] [latex] P_{c}= 3*20[/latex] [latex] P_{c}= 60 [/latex] V=[latex] frac{1}{3} [/latex][latex] pi r^{2} [/latex]*h V=[latex] frac{1}{3} [/latex][latex] 3* 2^{2} [/latex]*[latex] sqrt{68} [/latex] V=[latex] frac{1}{3} [/latex][latex] 12 [/latex]*[latex] sqrt{68} [/latex] V=4[latex] sqrt{68} [/latex] [latex] h^{2} + 2^{2} = 8^{2} [/latex] [latex] h^{2} + 4 = 64 [/latex] [latex] h^{2} = 68 [/latex] h = [latex] sqrt{68} [/latex]
