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3.6 Differentiation (A-level only)

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Question 30

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 cm2^22.

a.

Show that the volume, V V\,V cm3^33, of the cylinder is given by

V=400r−πr3V = 400r - \pi r^3V=400r−πr3

[3]
b.

Use calculus to find the maximum value of VVV, giving your answer to the nearest cm3^33.

[3]
c.

Justify that the value of V V\,V you have found is a maximum.

[2]
Markscheme

3.6 Differentiation (A-level only) Questions

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

332 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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