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WAEC Mathematics 2025 Paper

Question : 23

Total: 50

Solution:

Concept:

The total surface area of a closed cylinder equals the sum of the areas of its two circular ends and its curved surface.

Explanation:

Given: radius

r = 7

cm and height

h = 5

cm.

Total surface area formula for a closed cylinder is:

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

Substitute the values:

2 \times \frac{22}{7} \times 7 \times (7 + 5)

Simplify step by step:

2 \times \frac{22}{7} \times 7 \times 12

Since

\frac{22}{7} \times 7 = 22

, the expression becomes:

2 \times 22 \times 12 = 44 \times 12 = 528

Therefore, the total surface area is

528

^2

Answer:

528

^2

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