SOLUTION: Liquid flows into an empty cylindrical container at the rate of 50cm^3s^-1. If the container gas a base radius of 5cm, find the height of the liquid after 10 seconds

Algebra ->  Volume -> SOLUTION: Liquid flows into an empty cylindrical container at the rate of 50cm^3s^-1. If the container gas a base radius of 5cm, find the height of the liquid after 10 seconds      Log On


   

Question 984193: Liquid flows into an empty cylindrical container at the rate of 50cm^3s^-1. If the container gas a base radius of 5cm, find the height of the liquid after 10 seconds
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Cylinder holds (per centimeter height):
%28pi%29%28r%5E2%291cm=25%28pi%29cm%5E3%2Fcm_height
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Amount of liquid after 10 seconds:
%2850cm%5E3%2Fs%29%2810s%29=500cm%5E3
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Height of liquid:
%28500cm%5E3%29%2F%2825%28pi%29cm%5E3%2Fcm_height%29=%2820%2Fpi%29cm_height
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ANSWER: The liquid will be 20%2Fpicm high.