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1.6 Differentiation

1.6 Differentiation

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Question 54

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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1.6 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.6 Differentiation

115 exam-style questions on CCEA A Level Maths 1.6 Differentiation, covering 1.6.1 Differentiation, 1.6.2 Differentiation, 1.6.3 Differentiation, 1.6.4 Differentiation, 1.6.5 Differentiation, 1.6.6 Differentiation, and 1.6.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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