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Differentiation

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Question 37

A solid right circular cylinder has radius r r\,r cm and height h h\,h cm. The total surface area of the cylinder is 800 cm2.

a.

Show that the volume, V cm3V \text{ cm}^3V cm3, of the cylinder is given by V=400r−πr3V = 400r - \pi r^3V=400r−πr3

[4]
b.

use calculus to find the maximum value of VVV, to the nearest cm3\text{cm}^3cm3, justifying that it is a maximum.

[7]
Markscheme

Differentiation Questions

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

717 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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