2022 EOY ACSI P1 Q10

2022 EOY ACSI P1 Q10

IP 2
4 marks

A sphere has a radius of \( (x - 2)\) cm and its surface area is \(144\pi\) cm\(^2\).

  1. Find the value of \(x\).

    [3]
  2. Hence, find the volume of the sphere in terms of \(\pi\).

    [1]

Solution:

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Answer:(i) \(x=8\); (ii) \(288\pi\text{ cm}^3\).

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