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BECE Mathematics 2014 Paper

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Question : 32

Total: 40

Calculate the volume of a cylinder with radius 7 cm and height 10 cm .

\pi = \frac{22}{7}

$220\ \text{cm}^3$
$440\ \text{cm}^3$
$\;\; 1,540\ \text{cm}^3$
$\;\; 3,080\ \text{cm}^3$

Solution:

Concept:

The volume of a cylinder is found using the base area

\pi r^2

multiplied by the height

h

.

Explanation:

Write the formula:

V = \pi r^2 h

.

Here, radius

r = 7\ \text{cm}

and height

h = 10\ \text{cm}

.

Substitute

\pi = \frac{22}{7}

,

r = 7

, and

h = 10

in the formula.

V = \frac{22}{7} \times 7^2 \times 10

V = \frac{22}{7} \times 49 \times 10

Since

7

cancels with

49

, we get

V = 22 \times 7 \times 10

.

V = 1540

Thus, the volume is

1540\ \text{cm}^3

.

Answer:

C.

\;\; 1{,}540\ \text{cm}^3

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