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WAEC Mathematics 2023 Paper

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Question : 18

Total: 50

The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.

\pi = \frac{22}{7})

$1,106.29\,\mathrm{cm}^{2}$
$1,016.29\,\mathrm{cm}^{2}$
$1,106.89\,\mathrm{cm}^{2}$
$1,206.27\,\mathrm{cm}^{2}$

Solution:

radius = 8cm , height = 14cm and $\pi = \frac{22}{7}$

total surface area of a solid cylinder = $2\pi rh+2\pi r^{2}$ = 2πr( h + r )

$2 \times \frac{22}{7} \times 8(8+14)$

$2 \times \frac{22}{7} \times 8 \times 22$

$\frac{7744}{7}$

= $1,106.29\,\mathrm{cm}^{2}$

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