[{"question":"Ako vypo\u010d\u00edtate objem rota\u010dn\u00e9ho ku\u017ee\u013ea s v\u00fd\u0161kou v a polomerom r?","answers":["p*r2<\/sup>*v\/3","r2<\/sup>*v\/3","p*r2<\/sup>*v","p*r*v\/3"],"correct":"p*r2<\/sup>*v\/3","order":"1"},{"question":"M\u00e1te ku\u017ee\u013e z predch\u00e1dzaj\u00faceho pr\u00edkladu. Ako vypo\u010d\u00edtane vzdialenos\u0165 od vrcholu ku\u017ee\u013ea po bod na kru\u017enici podstavy","answers":["s = (r2<\/sup> + v2<\/sup>)","s = \u00d6(r + v2<\/sup>)","s = \u00d6(r2<\/sup> + v2<\/sup>)","s = \u00d6(r2<\/sup> + v)"],"correct":"s = \u00d6(r2<\/sup> + v2<\/sup>)","order":"2"},{"question":"Ako vypo\u010d\u00edtate povrch ku\u017ee\u013ea z prv\u00e9ho pr\u00edkladu?","answers":["p*r*(r-s)","p*r*(r\/s)","p*r*(r+s)","p*r*(r*s)"],"correct":"p*r*(r+s)","order":"3"},{"question":"\u010comu sa rovn\u00e1 povrch pl\u00e1\u0161\u0165a rota\u010dn\u00e9ho ku\u017ee\u013ea?","answers":["p*(r+s)","p*r*s","p*r*s2<\/sup>","p*r2<\/sup>*s"],"correct":"p*r*s","order":"4"},{"question":"Ako vypo\u010d\u00edtate povrch rota\u010dn\u00e9ho ku\u017ee\u013ea s pou\u017eit\u00edm priemeru, nie polomeru?","answers":["p*d\/2*(d\/2)","p*d*(d\/2+s)","d\/2*(d\/2+s)","p*d\/2*(d\/2+s)"],"correct":"p*d\/2*(d\/2+s)","order":"5"},{"question":"Ur\u010dte, ak\u00fd objem m\u00e1 teleso, ktor\u00e9 vznikne rot\u00e1ciou trojuholn\u00edka okolo strany a, ak strana b = 25, alfa = 78\u00b0, gama = 48\u00b0","answers":["10922","10.9","109","1.09"],"correct":"10922","order":"6"},{"question":"M\u00e1te zadan\u00fd zrezan\u00fd \u017eelezn\u00fd rota\u010dn\u00fd gu\u017eel s hustotou 7,8g\/cm3. Polomery jeho podst\u00e1v s\u00fa 4 a 1,5 cm. Jeho strana zviera s podstavou 28\u00b026\\'. Ak\u00e1 je hmotnos\u0165 tak\u00e9hoto telesa.","answers":["270,6 kg","2,706 g","27,06 g","270,6 g"],"correct":"270,6 g","order":"7"},{"question":"Zrezan\u00fd rota\u010dn\u00fd ku\u017ee\u013e m\u00e1 podstavy dlh\u00e9 8 a 4cm. Jeho v\u00fd\u0161ka je 5 cm. Ak\u00fd je objem p\u00f4vodn\u00e9ho ku\u017ee\u013ea?","answers":["6702,2 cm3<\/sup>","6,7022 cm3<\/sup>","67,022 cm3<\/sup>","670,22 cm3<\/sup>"],"correct":"670,22 cm3<\/sup>","order":"8"},{"question":"Povrch zrezan\u00e9ho rota\u010dn\u00e9ho ku\u017ee\u013ea je 510*p. Jeho strana je dlh\u00e1 13cm. Rozdiel polomerov je 10 cm. Ak\u00e9 dlh\u00e9 s\u00fa polomery?","answers":["15 a 5","20 a 10","25 a 15","30 a 20"],"correct":"15 a 5","order":"9"},{"question":"Ak\u00fd je povrch rota\u010dn\u00e9ho ku\u017ee\u013ea ak jeho priemer je 10 a d\u013e\u017eka jeho strany je 8?","answers":["65p","6,5p","180p","18p"],"correct":"65p","order":"10"}]