[{"question":"Ako vypo\u010d\u00edtame povrch zrezan\u00e9ho ku\u017ee\u013ea?","answers":["S = \u03c0 (r1<\/sub>2<\/sup> + r2<\/sub>2<\/sup>) + \u03c0(r1<\/sub> + r2<\/sub>).s","S = \u03c0 (r1<\/sub>2<\/sup> + r2<\/sub>2<\/sup>) + \u03c0(r1<\/sub> . r2<\/sub>).s","S = \u03c0 (r1<\/sub>2<\/sup> . r2<\/sub>2<\/sup>) + \u03c0(r1<\/sub> . r2<\/sub>).s","S = (r1<\/sub>2<\/sup> + r2<\/sub>2<\/sup>) + \u03c0(r1<\/sub> + r2<\/sub>).s"],"correct":"S = \u03c0 (r1<\/sub>2<\/sup> + r2<\/sub>2<\/sup>) + \u03c0(r1<\/sub> + r2<\/sub>).s","order":"1"},{"question":"Ako vypo\u010d\u00edtame objem zrezan\u00e9ho ku\u017ee\u013ea?","answers":["V = 1\/3 . \u03c0(r1<\/sub>2<\/sup> + r1<\/sub>.r2<\/sub> + r2<\/sub>2<\/sup>)","V = 1\/3 .v .(r12 + r1.r2 + r22)","V = 1\/3 . \u03c0.v .(r1<\/sub>2<\/sup> + r1<\/sub>.r2<\/sub> + r2<\/sub>2<\/sup>)","V = 1\/3 . \u03c0.v .(r1<\/sub>2<\/sup> . r1<\/sub>.r2<\/sub> . r2<\/sub>2<\/sup>)"],"correct":"V = 1\/3 . \u03c0.v .(r1<\/sub>2<\/sup> + r1<\/sub>.r2<\/sub> + r2<\/sub>2<\/sup>)","order":"2"},{"question":"Povrch zrezan\u00e9ho ku\u017ee\u013ea so stranou s = 13 cm je 510\u03c0 cm2<\/sup>. Ur\u010dte polomery podst\u00e1v, ke\u010f ich rozdiel je 10 cm.","answers":["15 cm","5 cm","15 cm, 5 cm","10 cm, 15 cm"],"correct":"15 cm, 5 cm","order":"3"},{"question":"Zrezan\u00fd rota\u010dn\u00fd ku\u017ee\u013e m\u00e1 podstav\u00fd dlh\u00e9 8 cm a 4 cm a v\u00fd\u0161ku dlh\u00fa 5 cm. Ak\u00fd je objem tohto \u00fatvaru?","answers":["160 cm3<\/sup>","670,22 cm3<\/sup>","502,4cm3<\/sup>","607,2 cm3<\/sup>"],"correct":"670,22 cm3<\/sup>","order":"4"},{"question":"Dan\u00fd je zrezan\u00fd ku\u017ee\u013e vysok\u00fd 30 cm s priemerom dolnej podstavy 10 cm a polomerom hornej podstavy 2 cm. Ak\u00fd uhol zviera pl\u00e1\u0161\u0165 s podstavou?","answers":["45\u00b0","30\u00b0","60\u00b0","75\u00b0"],"correct":"75\u00b0","order":"5"},{"question":"Dan\u00fd je zrezan\u00fd ku\u017ee\u013e s polomerom dolnej podstavy je 5 cm, hornej podstavy 2 cm. Uhol, ktor\u00fd zviera pl\u00e1\u0161\u0165 s podstavou je 75\u00b0. Vypo\u010d\u00edtajte objem tohto \u00fatvaru.","answers":["457,184 cm3<\/sup>","462,184 cm3<\/sup>","457 cm3<\/sup>","462 cm3<\/sup>"],"correct":"457,184 cm3<\/sup>","order":"6"},{"question":"Zhora otvoren\u00e1 n\u00e1dr\u017e m\u00e1 tvar zrezan\u00e9ho ku\u017ee\u013ea, ktor\u00fd stoj\u00ed na men\u0161ej podstave. Objem tejto n\u00e1dr\u017ee je 465 m3<\/sup>, polomery podst\u00e1v s\u00fa 4 m a 3 m. Vypo\u010d\u00edtajte h\u013abku n\u00e1dr\u017ee.","answers":["13 m","12 m","11,2 m","10,9 m"],"correct":"12 m","order":"7"},{"question":"Povrch zrezan\u00e9ho ku\u017ee\u013ea je 7697 m2<\/sup>, priemery podst\u00e1v s\u00fa 56 m, 42 m. Vypo\u010d\u00edtajte v\u00fd\u0161ku telesa.","answers":["21,1 m","20,02 m","22,02 m","22,2 m"],"correct":"22,02 m","order":"8"},{"question":"Objem zrezan\u00e9ho ku\u017ee\u013ea je 38 000\u03c0 cm3. Polomer dolnej podstavy je o 10 cm v\u00e4\u010d\u0161\u00ed ako polomer hornej podstavy. Zr\u010dte polomery podst\u00e1v, ak v\u00fd\u0161ka telesa je 60 cm.","answers":["25 cm, 35 cm","20 cm","30 cm, 5 cm","20 cm, 30 cm"],"correct":"20 cm, 30 cm","order":"9"},{"question":"Zrezan\u00fd ku\u017ee\u013e s polomermi 15 cm a 13 cm a v\u00fd\u0161kou 9 cm rozvalcovali na valec s polomerom 7,67 cm. Ak\u00e1 je d\u013a\u017eka tohto valca?","answers":["30 cm","20 cm","25 cm","35 cm"],"correct":"30 cm","order":"10"}]