Question

The diagram shows two geometrically similar containers. The cost of painting the base area of the smaller container is 25/64 of the cost of painting the base of the larger container.

(a) The top of the larger container has a circumference of 24 cm. Find the circumference of the top of the smaller container. [2]

(b) The capacity of the smaller container is 0.45 litres. Find the capacity of the larger container, giving your answer to 2 decimal places. [1]

Solution