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BECE Mathematics 2023 Paper

Question : 39

Total: 40

\pi = \frac{22}{7}

Solution:

Concept:

The volume of a cylinder is the space occupied by its circular base extended along its height.

It is found using the formula

V = \pi r^2 h

Explanation:

Given: radius

r = 7\ \text{cm}

and height

h = 5\ \text{cm}

Take

\pi = \frac{22}{7}

Substitute the values into

V = \pi r^2 h

V = \frac{22}{7} \times (7)^2 \times 5

Since

r^2 = 7 \times 7 = 49

, we get:

V = \frac{22}{7} \times 49 \times 5

Cancel the common factor 7:

V = 22 \times 7 \times 5

V = 22 \times 35 = 770

Thus the volume is

770\ \text{cm}^3

Answer:

770\ \text{cm}^3

, which is option A.

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