{"paper":{"id":"site-3060","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":5,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-3060/zad/3166","paper_id":"site-3060","number":"3166","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Powierzchnia boczna stożka po rozwinięciu jest półkolem o promieniu 12 cm. Podstawa tego stożka jest kołem o promieniu A. 12 cm, B. 6 cm, C. 3 cm, D. 1 cm","answer":null,"answer_text":null,"solution":null,"image":"img/site/3060/zad-3166.svg","solution_image":"img/site/3060/rozw-3166.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3060/zad/3168","paper_id":"site-3060","number":"3168","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Przekrój osiowy stożka jest trójkątem równobocznym o boku długości 6. Pole powierzchni bocznej tego stożka jest równe A. 12pi, B. 18pi, C. 27pi, D. 36pi","answer":null,"answer_text":null,"solution":null,"image":"img/site/3060/zad-3168.svg","solution_image":"img/site/3060/rozw-3168.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3060/zad/3299","paper_id":"site-3060","number":"3299","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Stożek powstał w wyniku obrotu trójkąta prostokątnego o przyprostokątnych 13 i 15 wokół dłuższej przyprostokątnej. Promień podstawy tego stożka jest równy A. 15, B. 13, C. 7,5; D. 6,5","answer":null,"answer_text":null,"solution":null,"image":"img/site/3060/zad-3299.svg","solution_image":"img/site/3060/rozw-3299.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3060/zad/5325","paper_id":"site-3060","number":"5325","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dwa stożki o takich samych podstawach połączono podstawami w taki sposób jak na rysunku. Stosunek wysokości tych stożków jest równy $3:2$. Objętość stożka o krótszej wysokości jest równa 12 cm^3. Objętość bryły utworzonej z połączonych stożków jest równa A. 20 cm^3; B. 30 cm^3; C. 39 cm^3; D. 52,5 cm^3.","answer":null,"answer_text":null,"solution":null,"image":"img/site/3060/zad-5325.svg","solution_image":"img/site/3060/rozw-5325.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3060/zad/7252","paper_id":"site-3060","number":"7252","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Tworząca stożka ma długość l, a promień jego podstawy jest równy r (zobacz rysunek). [rysunek] Powierzchnia boczna tego stożka jest 2 razy większa od pola jego podstawy. Wówczas A. r = 1/6 l B. r = 1/4 l C. r = 1/3 l D. r = 1/2 l","answer":null,"answer_text":null,"solution":null,"image":"img/site/3060/zad-7252.svg","solution_image":"img/site/3060/rozw-7252.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}