2025 GESS PRELIMS P1 Q22

The diagram shows three geometrically similar vases, \(A\), \(B\) and \(C\). The volume of Vase \(A\) is \(400\text{ cm}^3\) and its base area is \(50\text{ cm}^2\).

1. The base radius of Vase \(B\) is three times that of Vase \(A\). Calculate the base area of Vase \(B\).[2]
2. The base area of Vase \(C\) is \(800\text{ cm}^2\). Find
   1. the ratio of the curved surface area of Vase \(C\) to the curved surface area of Vase \(A\),[1]
   2. the volume of Vase \(C\).[2]