For The Mathematically Inclined

Problem 1:
What is the maximum number of intersections between 4 lines and a circle?

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Problems from 10/07/21

Problem 1:

In a quadrilateral prism: known surface area S = 12400 mm², base side m = 40mm and prism height = 120mm, what is the length of another base side n =?

Problem 2:

Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?