Tuesday, September 21, 2010

Volume P6 2010 SA2 ACS P2 Q16

A tank measuring 80 cm by 60 cm by 55 cm was 1/5 filled with water. A tap was turned on to fill it up with water at a rate of 9 litres per min. Every 30 seconds after the tap was turned on, an iron ball with a volume 500 cm3 was dropped into the tank. How many iron balls would there be in the tank when the water level reached the brim? (Ans 42 iron balls)


4/5 x 80 x 60 x 55 = 211200 cm3

60 s --> 9000 cm3
30 s --> 30/60 x 9000 = 4500 cm3

1 set --> 4500 + 500 = 5000 cm3

211200 / 5000 = 42 sets (max) --> 42 iron balls


There were 42 iron balls.

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