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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 198

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

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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