GCSE Maths Practice: surface-area

Question 4 of 10

This question focuses on calculating the total surface area of a cylinder.

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\( \begin{array}{l}\text{Find the surface area of a cylinder with radius } 3\,\text{cm} \\ \text{and height } 10\,\text{cm}, \\ \text{giving your answer in terms of } \pi.\end{array} \)

Choose one option:

Calculate base areas and curved surface separately, then sum. Keep units consistent.

A cylinder has two circular bases and one curved rectangular surface (lateral area). Total surface area = 2πr² (circles) + 2πrh (curved rectangle). For radius 3 cm and height 10 cm: 2π(3)² + 2π(3)(10) = 18π + 60π = 78π cm². Visualizing the curved rectangle as wrapping paper around the cylinder helps understanding. Practice with different radii and heights to build confidence in combining circle and rectangle areas.