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For The Mathematically Inclined

Anil Saigal
04/08/2012

PROBLEM # 1
A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water resistant paint needed for the pool costs $6 per square meter. How much will it cost to paint the interior surfaces of the pool?


PROBLEM # 2
For a party, you made 10 conical hats out of cardboard. How much cardboard did you use in total if each cap has a radius of 15 cm and a slant height of 25 cm?

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-041212 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 03/29/12

PROBLEM #1
A train averaged 120 km/h for the first two thirds of a trip (in distance) and 100 km/h for the whole trip. Find its average speed for the last third of the trip.

SOLUTION 1
75 km/h.

PROBLEM #2
Find the volume of a solid bounded by the graph z=8-2x-4y and below by the xy-plane for (x,y) in the unit square

SOLUTION 2
5.

Congratulations to Aseem Chandawarkar and Kishore Balsara, who were the winner of the last set of puzzles.



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