Determine a scale factor and use it to solve scaling problems, e.g. calculating lengths and areas of similar figures; and calculating surface areas, volumes and capacit ies of similar solids.

A cylindrical water tank has a radius of $8 \text{ cm}$ and a volume of $1{,}920\pi \text{ cm}^3$. A smaller, similar cylindrical tank is created with a radius of $4 \text{ cm}$. Determine the scale factor used to reduce the larger tank, and hence find the volume of the smaller tank.

Two cylindrical water tanks are similar in shape. Use the data provided to determine if the large tank has sufficient capacity to hold 15 000 litres of water.