2021 May TZ1 P1 Q2

2021 May TZ1 P1 Q2

4 marks

The diameter of a spherical planet is \(6 \times 10^4\) km.

  1. Write down the radius of the planet.

    [1]

The volume of the planet can be expressed in the form \(\pi(a \times 10^k)\) km\(^3\) where \(1 \leq a < 10\) and \(k \in \mathbb{Z}\).

  1. Find the value of \(a\) and the value of \(k\).

    [3]
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Answer:(a) \(3 \times 10^4\) km (b) \(a = 3.6\); \(k = 13\)

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