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BECE Science 2018 Paper

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Question : 27

Total: 40

A cylinder metal has radius 7 cm and height 2 cm . Determine the volume of the cylinder.

\pi=\frac{22}{7}

$44\,\text{cm}^3$
$107\,\text{cm}^3$
$308\,\text{cm}^3$
$1078\,\text{cm}^3$

Solution:

Concept:

The volume of a cylinder equals the area of its circular base

\pi r^2

multiplied by its height

h

.

Explanation:

Given: radius

r = 7\ \text{cm}

, height

h = 2\ \text{cm}

, and

\pi = \frac{22}{7}

.

Volume formula:

V = \pi r^2 h

.

Substitute the values:

V = \frac{22}{7} \times 7^2 \times 2

.

Since

7^2 = 7 \times 7

, we get

V = \frac{22}{7} \times 7 \times 7 \times 2

.

The denominator

7

cancels with one of the

7

's, giving

V = 22 \times 7 \times 2

.

So

V = 308\ \text{cm}^3

.

Answer:

C.

308\ \text{cm}^3

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