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A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of...

Mathematics
JAMB 1980
A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take \(\pi\) = \(\frac{22}{7}\)
  • A. \(\frac{6600}{7}\)cm3
  • B. 270cm3
  • C. 660cm3
  • D. \(\frac{4224}{7}\)cm3
  • E. \(\frac{1980}{7}\)cm3
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Correct Answer: Option D
Explanation
V = \(\pi\)r2h

= \(\frac{22}{7}\) x 52 x 12 - \(\frac{22}{7}\) x 32 x 12

= \(\frac{22}{7}\) x 12(52 - 32)

= \(\frac{4224}{7}\)
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