GCSE Maths Practice: surface-area

Question 10 of 10

This question calculates the total surface area of a cylinder.

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\( \begin{array}{l}\text{Which formula gives the surface area of a cylinder?}\end{array} \)

Choose one option:

\( 2\pi r^2 + 2\pi rh \) \( 2\pi r + 2\pi rh \) \( 2\pi r^2h \) \( 2\pi rh \)

Compute base areas and curved rectangle separately; sum them.

A cylinder has two circular bases and one curved lateral surface. Total surface area = 2π r² + 2π r h. Example: radius 3 cm, height 10 cm → 2π(3)² + 2π(3)(10) = 18π + 60π = 78π cm². Understanding both components (bases and curved surface) is essential. Practice with various cylinder dimensions to strengthen calculation skills. Applications include cans, pipes, and tanks.