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For The Mathematically Inclined

Anil Saigal
09/12/2018

Problem 1:
A cylindrical vessel  of 20 feet diameter and 50 feet height contains 100 spherical balls of 1 feet diameter.  If the remaining volume is filled with water, how many liters of water can it hold?

Problem 2:

A cylindrical vessel  of 20 feet diameter and 50 feet height  contains water to the brim. If a sphere of 1 feet diameter is added to the vessel every 5 minutes, how long does it take for half the water to fall out?

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-091318 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 08/30/18

Problem 1:
The cross-section ABCD of a swimming pool is a right  trapezium. Its surface width AB=14 meters, depth at the shallow end is 1.5 meters and at the deep end is 8 meter. Find the area of the cross-section.

Problem 2:

The cross-section ABCD of a swimming pool is a right trapezium. Its surface width AB=14 meters, depth at the shallow end is 1.5 meters and at the deep end is 8 meter. How many liters of water can the pool hold when it is completely filled if the length of pool is 20 meters.

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



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