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UKMT Pink Kangaroo, 2026

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Michael has a bottle partially filled with water. The figure on the right shows how the height of water in the bottle changes when it is flipped upside down. The bottle's capacity is 4.5 $\ell$ and the water-filled part in the first diagram is cylindrical. What is the volume of water in the bottle?

(A) $2.1\ell$ (B) $2.4\ell$ (C) $2.5\ell$ (D) $2.7\ell$ (E) $3.0\ell$

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