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Expert: - 1/8/2011


Question
A cylindrical tank with height 15m and diameter 2m is being filled with gasoline at a rate of 500 L/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?

Thanks-I have been trying this by myself and it is confusing me

Answer
To find out how fast it is rising, solve the equation Ah = 500,000 cm^3.
Note that A is in cm^2 and h is the height in cm.  Thus, both sides have the same factors.

Since the diameter d is 2m, that's 200 cm.
The equation to use is d = 2*pi*r, where r is the radius.

The formula for area is A = pi*r^2.

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