For The Mathematically Inclined

Problem 2:
In rectangle with sides 3 and 10 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?

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Problems from 10/11/18

Problem 1:
How many kilograms of iron is needed for production 50 pieces of hollow pipes with the inner and outer diameters of 12 and 16 cms and length of 4 m? Assume the density of iron used is 7800kg/m³.

Problem 2:
From an iron cube of edge 37 cm,a maximum cylinder is lathed. Hom mmany kilograms of iron is wasted? Assume the density of iron used is 7800kg/m3.

Congratulations to Ramachandran Balakrishna who was the winner of the last set of puzzles.