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BECE Mathematics 2012 Paper

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Question : 22

Total: 40

Find the volume of a cylinder of height 3 cm and radius 2 cm .

$6 \pi \mathrm{cm}^3$
$\; 12 \pi \mathrm{cm}^3$
$18 \pi \mathrm{cm}^3$
$\; 24 \pi \mathrm{cm}^3$

Solution:

Concept:

The volume of a cylinder is found using the formula

V = \pi r^2 h

.

Explanation:

Given: radius

r = 2\ \mathrm{cm}

and height

h = 3\ \mathrm{cm}

.

Substitute these values into

V = \pi r^2 h

.

So,

V = \pi \times (2)^2 \times 3

.

Since

(2)^2 = 4

, we have

V = \pi \times 4 \times 3

.

Thus,

V = 12\pi\ \mathrm{cm}^3

.

Answer:

The volume is

12 \pi\ \mathrm{cm}^3

, which is option B.

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