+58 I'm trying to practice for math challengers in February next year by looking at some of the previous iteration's answers, and I'm kind of stuck on this question.
A 6cm diameter, 5 cm tall cylinder is partially filled with water. The cylinder is placed on the table on it’s side and the level of the water above the table is ¼ of it’s diameter. When placed on the table on its base, how high (in cm) is the level of the water above the table? Express your answer as decimal correct to two decimal places.
I know the volume of the cylinder is (6/2)^2pi * 5 = 45pi, but I'm stuck on the part for finding the volume of the water. I know how to get the answer with the volume of the water, but how do I find it with the level of water above the table when it's on the side?
Note: In the original document instead of "on its side" it said "on it's circular side" which I'm just assuming to be the height side, since it asks for when it is standing on the base seperately. Im 98% sure this isnt a source of a misunderstanding in what the question is describing, but I'm mentioning it anyways just in case. Forgive me for the bad english.
