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Differentiation

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Question 372

The volume of a sphere is increasing at a constant rate of 2 cm3s-1

Volume of a sphere=43πr3 \text{Volume of a sphere} = \frac{4}{3}\pi r^3 Volume of a sphere=34​πr3

Show that the rate of increase of the radius when r=2 cmr = 2 \text{ cm}r=2 cm is aπ\displaystyle \frac{a}{\pi}πa​, where a a\,a is a constant.

[4]
Markscheme

Differentiation Questions

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

649 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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