# Maths C4 - Differential Equations QuestionWatch

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#1
A cylindrical container has a height of 200cm. It was initially full but there is a leak in the bottom. When the leak is noticed, the container is half full and the level of the chemical is dropping at a rate of 1cm/minute. It is assumed that when the depth remaining is xcm, the rate at which the level is dropping is proportional to root x. Set up and solve a differential equation and hence show that the container has been leaking for about 80 minutes.
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4 years ago
#2
(Original post by sam.rix1)
A cylindrical container has a height of 200cm. It was initially full but there is a leak in the bottom. When the leak is noticed, the container is half full and the level of the chemical is dropping at a rate of 1cm/minute. It is assumed that when the depth remaining is xcm, the rate at which the level is dropping is proportional to root x. Set up and solve a differential equation and hence show that the container has been leaking for about 80 minutes.
Heya, I'm going to put this in the Maths forum for you as you should get more responses there.You should also check out the forum to see if there's any other threads there which might be helpful to you!http://www.thestudentroom.co.uk/forumdisplay.php?f=38
0
4 years ago
#3
(Original post by sam.rix1)
A cylindrical container has a height of 200cm. It was initially full but there is a leak in the bottom. When the leak is noticed, the container is half full and the level of the chemical is dropping at a rate of 1cm/minute. It is assumed that when the depth remaining is xcm, the rate at which the level is dropping is proportional to root x. Set up and solve a differential equation and hence show that the container has been leaking for about 80 minutes.
somebody else asked help for this ODE a few days ago
(I think it is the last question on the C4 OCR specimen paper).

look for that thread while you are waiting for help
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#4
got it now, dw
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