Attachment 25033

Hi guys, i am having problem to solve the above question, i seem not able to get the correct answer each time i try out.

Hope someone could help me out. Thanks.

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- Oct 3rd 2012, 05:48 PMvetrifinding the rate of change of height of cone.
Attachment 25033

Hi guys, i am having problem to solve the above question, i seem not able to get the correct answer each time i try out.

Hope someone could help me out. Thanks. - Oct 3rd 2012, 06:24 PMMarkFLRe: finding the rate of change of height of cone.
Think of the volume of water in the conical container as being composed of circular disks of thickness . We may then state:

We know the ratio of the radius of the water's surface to the height of the water level will be the same as that of the container:

hence:

Now, solve for and use the given values of to compute the requested value.