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| Math Central | Quandaries & Queries |
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Question from Simon, a student: A cylindrical tank with height 15m and diameter 2m is being filled with gasoline at a rate of 500L/min. At what rate is the fluid level in the tank rising?(1L = 1000cm^3). About how long will it take to fill the tank? |
Simon,
Since 1 L = 1000 cm3, 500 L/min = 500 000 cm3/min. There are 100 cm in a metre so
500 000 cm3/min = 500 000 × 1/(100)3 cm3/min × m3/cm3 = 0.5 m3/min
The volume of a cylinder is π r2 h where r is the radius and h is the height. Let f be the number of meters the fluid level rises in 1 minute then
π 12 f = 0.5
What is f?
Penny
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