Find the volume of the cylinder above [Take π=22/7]

Correct Answer is : 14,784 cm3³3

Correct Answer is : 14,784 cm3³3

Test Index

JAMB Mathematics 2023 Paper

Question : 49

Total: 80

Find the volume of the cylinder above

\pi=\frac{22}{7}

Solution:

Concept:

A cylinder with a

90^\circ

sector removed leaves a sector of angle

270^\circ

Its volume is

\frac{\theta}{360^\circ}\times \pi r^2 h

Explanation:

The radius is

r = 14\ \mathrm{cm}

and the height is

h = 32\ \mathrm{cm}

The angle of the remaining part is

\theta = 360^\circ - 90^\circ = 270^\circ

So, volume

= \frac{270}{360}\times \frac{22}{7}\times 14^2 \times 32

Simplify:

14^2 = 196

and

\frac{22}{7}\times 196 = 616

Therefore, volume

= \frac{3}{4}\times 616 \times 32 = 14784\ \mathrm{cm}^3

Answer:

14{,}784\ \mathrm{cm}^3

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