2025 AISS PRELIMS P1 Q26

A glass in the shape of a cone on a stem is filled to the brim with water. The diameter of the top of the glass is 11 cm. The height of the cone is 8 cm. The thickness of the glass is negligible.

1. Calculate the curved surface area of the inside of the glass.[2]
2. Ethan pours 40% of the water in this glass into a second glass. The second glass is in the shape of a cylinder. The depth of water in the cylindrical glass is 2.5 cm. Calculate the diameter of the cylindrical glass.[4]