Maths Olympiad Prep

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Problem 11

Geometry Difficulty 1.0 Find the answer CEMC Fermat · Canada · 2005

A cylinder with radius 2 cm and height 8 cm is full of water. A second cylinder of radius 4 cm and height 8 cm is empty. If all of the water is poured from the first cylinder into the second cylinder, the depth of the water in the second cylinder will be

(A) 1 cm1\text{ cm} (B) 2 cm2\text{ cm} (C) 3 cm3\text{ cm} (D) 4 cm4\text{ cm} (E) 6 cm6\text{ cm}

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