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For The Mathematically Inclined

Anil Saigal
12/06/2018

Problem 1:

Axial section of the cone is equilateral triangle with area 208 dm2. Calculate volume of the cone.

Problem 2:
From the observatory 14 m high and 32 m from the river bank, river width appears in the visual angle φ = 20°. Calculate width of the river.


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-122018 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 12/06/18

Problem 1:
Mr. Smith is on a road trip to a remote golf course 100 miles away. He travels part of the way at 60 miles/h along the highway, and part of the way at 20 miles/h along dirt roads. If it took 3 hours to get there, how  much time did he spend on dirt roads?

Problem 2:
A car travels between two cities  in 3 hours and 20 minutes. If it increase speed by 10 miles/hour it covers the same distance in 2 hours 30 minutes.   How far are the cities?

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



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