How deep is the water in a conical paper cup that is filled to half of its capacity?

Is my answer correct?

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- Oct 3rd 2011, 09:24 AMVeronica1999conical paper cup
How deep is the water in a conical paper cup that is filled to half of its capacity?

Is my answer correct? - Oct 3rd 2011, 09:36 AMemakarovRe: conical paper cup
The answer is correct, but the proof should be general. Assume that the dimensions of the cone are R and H and the dimensions of the part occupied by water are r and h. Since these figures are similar, R / r = H / h. Write the ratio of volumes, equate it to 1/2 and find h / H.