Marinada '21

[lang=hr] Dan je jednakokračan trokut s krakom duljine $10$. Kut između krakova tog trokuta jednak je $30^{\circ}$. Danom trokutu opišemo kružnicu te na tu kružnicu povučemo tangentu koja je paralelna s visinom na osnovicu početnog trokuta. Koliki je obujam tijela kojeg dobijemo rotacijom početnog trokuta oko spomenute tangente? ($\pi=3.14$). [/lang] [lang=en] In an isosceles triangle, the length of its legs is 10 and its vertex angle is $30 ^ {\circ}$. A tangent of the circumscribed circle of that triangle is parallel to the height to the base of said triangle. What is the volume of the body formed by rotating the triangle around that tangent? ($\pi = 3.14$). [/lang]