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IP2U8 Exercise Q9

IP2U8 Exercise Q9

IP 2

QUESTION \(9\)

The ratio of the areas of the bases of two geometrically similar buckets is \(4 : 9\).

  1. The area of the top of the smaller bucket is \(480\) cm\(^2\). What is the area of the top of the larger bucket?
  2. Write down the ratio of the heights of the two buckets.
  3. Both buckets are filled with water. The mass of the water in the larger bucket is \(36\) kg. Find the mass of water in the smaller bucket.
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Answer:\(\text{(i)}\ 1080\text{ cm}^2\) \(\text{(ii)}\ 2:3\) \(\text{(iii)}\ 10\dfrac{2}{3}\text{ kg}\)

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