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JAMB Mathematics 2017 Paper

Question : 4

Total: 44

\frac{22}{7}

Solution:

Concept:

The curved surface area of a cylinder is the area of its lateral surface, calculated using

2\pi r h

Explanation:

Given height

h = 5

cm and curved surface area

= 110

^2

Use the formula for curved surface area:

A = 2\pi r h

Substitute

A = 110

and

\pi = \frac{22}{7}

110 = 2 \times \frac{22}{7} \times r \times 5

Simplify:

110 = \frac{220}{7}r

Multiply both sides by

7

770 = 220r

Divide both sides by

220

r = \frac{770}{220} = 3.5

Thus, the radius of the base is

3.5

cm.

Answer:

B. 3.5cm

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