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Find the volume of the cylinder above [Take \(\pi= ^{22}/_7\)]

Mathematics
JAMB 2023

Find the volume of the cylinder above
[Take \(\pi= ^{22}/_7\)]

  • A. 9,856 cm\(^3\)
  • B. 14,784 cm\(^3\)
  • C. 4,928 cm\(^3\)
  • D. 19,712 cm\(^3\)
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Correct Answer: Option B
Explanation

Volume of the cylinder = \(\frac{θ}{360} \times \pi r^2h\)

θ = 360\(^o\) - 90\(^o\) = 270\(^o\)

∴ Volume of the cylinder = \(\frac{270}{360} \times \frac{22}{7} \times \frac{14^2}{1} \times \frac{32}{1} = \frac{37,255,680}{2520} = 14,784cm^3\)

There is an explanation video available below.


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