[{"question":"Dut\u00e1 gu\u013ea s hustotou 8,9 g.cm3<\/sup> a v\u00e1hou 1 kilogram sa vzn\u00e1\u0161a vo vode. Ak\u00fa hr\u00fabku m\u00e1 stena tejto gule?","answers":["2 mm","2,5 mm","3 mm","3,5 mm"],"correct":"2,5 mm","order":"1"},{"question":"Dut\u00e1 gu\u013ea s hustotou 7,2 g.cm3<\/sup> m\u00e1 priemer 20 cm. Ak\u00fa m\u00e1 hr\u00fabku stena tejto gule, ak je ponoren\u00e1 do 3\/4 svojho priemeru vo vode?","answers":["3,6 mm","3,7 mm","3,8 mm","3,9 mm"],"correct":"3,6 mm","order":"2"},{"question":"Gu\u013eov\u00fd odsek m\u00e1 v\u00fd\u0161ku 5cm a objem 850 cm3<\/sup>. Ak\u00fd je polomer gule, ktorej \u010das\u0165ou je dan\u00fd odsek (myslite na pytagorovu vetu)?","answers":["1,25 cm","12,5 cm","125 cm","0,125 cm"],"correct":"12,5 cm","order":"3"},{"question":"V\u00fd\u0161ka gu\u013eov\u00e9ho odseku je 15 cm, polomer podstavy odseku je 30 cm. Ak\u00fd je jeho objem?","answers":["20 litrov","21 litrov","22 litrov","23 litrov"],"correct":"23 litrov","order":"4"},{"question":"M\u00e1te pologu\u013eu s polomerom 5cm. Odre\u017eete z nej odsek s v\u00fd\u0161kou 1,5cm. Ak\u00fd je objem gu\u013eovej vrstvy, ktor\u00fd v\u00e1m takto vznikne?","answers":["200 cm3<\/sup>","210 cm3<\/sup>","220 cm3<\/sup>","230 cm3<\/sup>"],"correct":"230 cm3<\/sup>","order":"5"},{"question":"S\u00fa dve gule s polomermi 1 cm a 5 cm. Z t\u00fdchto dvoch g\u00fal urob\u00edte jednu gulu. Ak\u00fd je jej polomer?","answers":["1,013 cm","3,013 cm","5,013 cm","7,013 cm"],"correct":"5,013 cm","order":"6"},{"question":"Ak\u00fd je povrch gule z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["316 cm2<\/sup>","326 cm2<\/sup>","336 cm2<\/sup>","346 cm2<\/sup>"],"correct":"316 cm2<\/sup>","order":"7"},{"question":"Obsah gu\u013eov\u00e9ho vrchl\u00edka sa rovn\u00e1 288 dm2<\/sup>. Jeho v\u00fd\u0161ka je 7,3 dm. Ak\u00fd je jeho objem?","answers":["6,44 dm3<\/sup>","64,4 dm3<\/sup>","644 dm3<\/sup>","0,644 dm3<\/sup>"],"correct":"644 dm3<\/sup>","order":"8"},{"question":"Ako sa naz\u00fdva \u00fatvar, pre ktor\u00fd je platn\u00fd nasledovn\u00fd vzorec: V = p*d2<\/sup>*v\/6","answers":["gu\u013ea","gu\u013eov\u00fd odsek","gu\u013eov\u00fd p\u00e1s","gu\u013eov\u00fd v\u00fdsek"],"correct":"gu\u013eov\u00fd v\u00fdsek","order":"9"},{"question":"Ako sa naz\u00fdva \u00fatvar, pre ktor\u00fd je platn\u00fd nasledovn\u00fd vzorec: S = 6*V \/ d","answers":["gu\u013ea","gu\u013eov\u00fd odsek","gu\u013eov\u00fd p\u00e1s","gu\u013eov\u00fd v\u00fdsek"],"correct":"gu\u013ea","order":"10"}]