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9.10 Rates of Change

9.10 Rates of Change

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Question 15

A spherical weather balloon is leaking helium. The volume, VVV, of the balloon is decreasing at a constant rate.

Show that the rate of decrease of the radius, rrr, of the balloon is inversely proportional to r2r^2r2.

You may use the following formula for the volume of a sphere:

V=43πr3 V = \frac{4}{3}\pi r^3 V=34​πr3
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Markscheme

9.10 Rates of Change Questions

  1. A Level
  2. /Maths
  3. /9.10 Rates of Change

24 exam-style questions on Edexcel A Level Maths 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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