The diagram shows two geometrically similar bowls. The larger bowl has a base area of \(64\text{ cm}^2\). The smaller bowl has a base area of \(12.25\text{ cm}^2\).
The height of the smaller bowl is \(7\text{ cm}\). Calculate the height of the bigger bowl.[2]
A hawker stall uses the two types of bowls to serve porridge to customers. The price of the same type of porridge served using the large bowl is eight times as much as the small bowl. Which size gives a better value for money? Explain your answer.[2]
The illumination, \(I\) units, of a bulb is inversely proportional to the square of the distance, \(d\) metres. The distance from a particular bulb is increased by \(25\%\) of its original distance. Calculate the percentage reduction in the illumination of the bulb.[2]
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Answer:(a)(i) \(16\text{ cm}\) (a)(ii) Large bowl (b) \(36\%\)