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BECE Mathematics 2022 Paper

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Question : 40

Total: 40

The volume of a cylinder is

40 \pi \text{ cm}^3

. If the height of the cylinder is 10 cm , find the base radius

1 cm
4 cm
2 cm
3 cm

Solution:

Concept:

The volume of a cylinder is given by

\pi r^2 h

, where

r

is the base radius and

h

is the height.

Explanation:

Given volume

= 40\pi \text{ cm}^3

and height

= 10

cm.

Using the formula:

\pi r^2 h = 40\pi

.

Substitute

h = 10

:

\pi r^2 \times 10 = 40\pi

.

So,

10\pi r^2 = 40\pi

.

Divide both sides by

10\pi

:

r^2 = 4

.

Taking the positive square root:

r = 2

cm.

Answer:

The base radius is

2

cm, which matches option C.

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