Find the volume of the cylinder above
[Take \(\pi= ^{22}/_7\)]
Attached Figure / Diagram
A
9,856 cm\(^3\)
B
14,784 cm\(^3\)
C
4,928 cm\(^3\)
D
19,712 cm\(^3\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Volume of the cylinder = \(\frac{θ}{360} \times \pi r^2h\)
θ = 360\(^o\) - 90\(^o\) = 270\(^o\)
∴ Volume of the cylinder = \(\frac{270}{360} \times \frac{22}{7} \times \frac{14^2}{1} \times \frac{32}{1} = \frac{37,255,680}{2520} = 14,784cm^3\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #67368)