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For The Mathematically Inclined

Anil Saigal
11/20/2019

Problem 1:
I have cylindrical tube that narrows at the bottom. The top of the tube is .625” and the bottom is .532” in diameter. The  height of the tube is .250". What angle does the outer wall of tube with respect to a flat surface on which it is standing vertically?  Assume it narrows linearly. 

Problem 2:
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-11/0719 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems from 11/07/19

Problem 1:
What is the percentage of vinegar in a solution if we mix to 3 liters of 5.8% and 5 liters of 7.6% vinegar?

Problem 2:
An alloy A is a mixture of two metals in the ratio 1:2, an alloy B a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? 


Congratulation to Kishore Balsara, who was the winner of the last set of puzzles. Here are two puzzles for one and all!



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