IP2U8 Exercise Q10

The two containers \(A\) and \(B\) shown in the diagram are geometrically similar.

The height of one container is \(6\) m and the other is \(12\) m.

1. The top of the larger container has a circumference of \(22\) m, find the circumference of the top of the smaller container.
2. If the surface area of the smaller container is \(12.5\) m\(^2\), find the surface area of the bigger container.
3. The cost of the fruit juice in the larger container \(B\) is \(\$32\), find the cost of the fruit juice in the smaller container if both containers are completely filled with fruit juice.

Containers A and B

For part (iii), assume that both containers are charged the same price per unit volume of fruit juice.