A cylinder shaped tank with base diameter length of 6m is standing on its base. The amount of water in the tank increases by 1500 L hourly. How much did the water level in the tank rise in 5 hours of filling?
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Let VxVx denote the volume of the water in the tank, RR the radius of the base and HH the height perpendicular to the base, and HxHx the level of the water. Clearly we have
V=13πR2HV=13πR2H
VxV=1−(1−HxH)3VxV=1−(1−HxH)3
In your case Vx=7.5(=1.5×5)Vx=7.5(=1.5×5) and R=3(=6.0÷2)R=3(=6.0÷2) , but HH is unknown, so we cannot know HxHx .
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a very young plant or tree that has grown from a seed
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