2026 NORTHBROOKS P1 Q15

2026 NORTHBROOKS P1 Q15

Secondary 4
3 marks

\(A,B,C\) are geometrically similar jars with circular base.

The ratio volume of jar \(A\) : volume of jar \(B\) : volume of jar \(C=1:9:64\).

  1. Find the ratio diameter of base of jar \(A\) : diameter of base of jar \(C\).[1]
  2. The surface area of jar \(C\) is \(900\text{ cm}^2\). Find the surface area of jar \(B\).[2]

Solution:

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Answer:(a) \(1:4\) (b) \(243\text{ cm}^2\).

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