Radius and volume of a spherical asteroid in standard form

Radius and volume of a spherical asteroid in standard form

4 marks

A small asteroid is modelled as a sphere with a diameter of \(1.2\times10^3\) metres.

  1. State the radius of the asteroid, in metres, in standard form.[1]

Its volume, in cubic metres, can be written as \(\pi\left(a\times10^k\right)\), where \(1\leq a<10\) and \(k\in\mathbb{Z}\).

  1. Determine \(a\) and \(k\).[3]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:(a) \(6\times10^2\text{ m}\) (b) \(a=2.88,\ k=8\)

Need help? Join our JC Math tuition classes.

Learn more