SOLUTION: a bucket full of water is in the form of a frustum of a cone the bottom and top radii of the frustum are 18 cm and 28 cm respectively and the vertical dept is 30 cm. if the water i

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Question 880436: a bucket full of water is in the form of a frustum of a cone the bottom and top radii of the frustum are 18 cm and 28 cm respectively and the vertical dept is 30 cm. if the water in the bucket is then poured into an empty cylindrical container with base radius 20 cm, find the depth of the water in the container. take pie to be 22\7
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Formula for frustrum of cone volume: v=%28%28pi%2Ah%29%2F3%29%28R%5E2%2BrR%2Br%5E2%29;
Formula for volume of cylinder: v=h%2Api%2Ar%5E2.

I suggest make some changes in variable names, and solve symbolically for "h" of the cylinder equation, and then substitute the given values. I say this implying to be careful to not confuse the similar variables found in the fundamental formulas.