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Quiz of the Month (July 2006)

Hector C. Parr

***

SOLUTION TO LAST MONTH'S QUIZ

1. 56.55 m2
2. 735.1 m2
3. 2456 m2


Notes.


Q.3  The area consists of:
        a semicircle of radius 30 m
        + two quadrants of radius 24 m
        + two 30o sectors of radius 12 m
        + equilateral triangle ACD

     = PI*302/2 + 2*PI*242/4 + 2*PI*122/12 + 36*sqr(3)
     = 762*PI + 36*sqr(3)
     = 2456.2

THIS MONTH'S QUIZ

The hubs of both the supply spool and the take-up spool of an old reel-to-reel tape recorder have diameter 4 cm. A full reel of tape will play for one hour, and the initial outer diameter of the tape on the supply spool is 16 cm.

1. A full reel starts playing at 12 noon. What will be the diameter of the tape on the take-up spool at 12:21 pm ?

2. What will be the diameter of the tape on the supply spool at 12:55 pm ?

3. At what time will the tape on the supply spool have diameter 8 cm ?

***

© Hector C. Parr (2006)

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