Edexcel IGCSE Math A 4.10.D surface area of a cylinder

Practise cylinder-surface questions by combining curved surface area with the two circular ends and using the given radius or volume.

Exam points

Calculate total surface area of a cylinder from radius, height or volume information.
Form or simplify an expression for a cylinder measurement in terms of a variable.

[Maximum number: 2]

Here are a solid sphere and a solid cylinder.

Figure for Question 4.10.D The surface area of a cylinder question 1 — Edexcel IGCSE Math A Higher

The radius of the sphere is $r \mathrm{~cm}$ .
The radius of the cylinder is $r \mathrm{~cm}$ .
The height of the cylinder is $2 r \mathrm{~cm}$ .
The total surface area of the cylinder is $k \pi \mathrm{~cm}^{2}$

Find an expression for k in terms of r.

$2\pi r^2+2\pi r(2r)=6\pi r^2$

Final answer:
$6\pi r^2$

M1.
A1.

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4.10.D The surface area of a cylinder question 1