2026 PHS P1 Q17

The diagram shows two geometrically similar empty buckets.

The height of the smaller bucket is 15 cm, and the base area of the larger bucket is \(686\text{ cm}^2\).

Water is poured into both buckets at the same constant rate.

The smaller bucket takes \(\dfrac18\) of the time the larger bucket takes to fill completely.

1. Find the height of the larger bucket.[2]
2. Find the base area of the smaller bucket.[2]