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WAEC Mathematics 2011 Paper

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Question : 7

Total: 47

A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take

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

]

11
14
16
18

Solution:

Concept:

The volume of a cylinder is calculated with

\pi r^2 h

, then converted from cubic centimetres to litres.

Explanation:

Given base radius

r = 14

cm and height

h = 18

cm.

Volume

= \pi r^2 h

.

Substitute

\pi = \frac{22}{7}

:

Volume

= \frac{22}{7} \times (14)^2 \times 18

.

Since

(14)^2 = 196

,

Volume

= \frac{22}{7} \times 196 \times 18

.

Now

\frac{196}{7} = 28

, so

Volume

= 22 \times 28 \times 18

.

Volume

= 11088\ \mathrm{cm}^3

.

Now,

1000\ \mathrm{cm}^3 = 1

litre.

Capacity

= \frac{11088}{1000} = 11.088

litres.

Correct to the nearest litre, the container can hold

11

litres.

Answer:

A. 11

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