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JAMB Mathematics 2015 Paper

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Question : 48

Total: 61

The volume of a cone (s) of height 6cm and base radius 5cm is

157cm³
155cm³
175cm³
145cm³

Solution:

Concept:

The volume of a cone is found using the formula

V = \frac{1}{3}\pi r^2 h

.

Explanation:

Given: height

h = 6\text{ cm}

and base radius

r = 5\text{ cm}

.

Substitute into the formula:

V = \frac{1}{3} \times \pi \times (5)^2 \times 6

V = \frac{1}{3} \times \pi \times 25 \times 6

V = 50\pi

Using

\pi \approx 3.14

:

V \approx 50 \times 3.14 = 157\text{ cm}^3

Answer:

A.

157\text{ cm}^3

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