IP2U8 Exercise Q11
IP2U8 Exercise Q11
IP 2
Two cylindrical cans of milk powder of the same brand are geometrically similar to each other as shown.
The heights of both cans are \(10\) cm and \(14\) cm respectively.
Given that the radius of the base of can \(A\) is \(6\) cm, calculate the radius of the base of can \(B\).
- Find the ratio of the volume of can \(A\) to the volume of can \(B\).
The net weight of can \(A\) is \(205\) g.
- Find the net weight of can \(B\), correct to the nearest gram.
- If the cost of cans \(A\) and \(B\) are \(\$8.40\) and \(\$19.50\) respectively, which can of milk powder is of better value? Explain your answer clearly.
Diagram showing two similar cylindrical cans, Can A with height 10 cm and Can B with height 14 cm.
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Answer:\(r_B=8.4\text{ cm}\) \(\text{(i)}\ 125:343\) \(\text{(ii)}\ 563\text{ g}\) \(\text{(iii)}\ \text{Can}\hspace{0.5em}B\text{, because it has the lower unit price.}\)
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