2023 BMSS EOY P2 Q4

The diagram shows a solid wax candle in the shape of a hemisphere with radius \(12\text{ cm}\) and a solid wax candle in the shape of a cone with radius \(3.5\text{ cm}\) and a height of \(9.2\text{ cm}\).

1. Calculate the total surface area of the solid hemisphere.[1]

2. The solid hemisphere candle is then melted down into a few solid cone candles.

   Find the maximum number of solid cone candles that can be formed.

   [3]

The written statement specifies cone radius \(3.5\text{ cm}\), while the retained diagram places \(3.5\text{ cm}\) across the base as a diameter. The solution gives both interpretations. Assume no wax is lost in recasting.