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 \(\pi\) = \(\frac{22}{7}\)
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A.
\(\frac{6600}{7}\)cm3
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B.
270cm3
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C.
660cm3
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D.
\(\frac{4224}{7}\)cm3
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E.
\(\frac{1980}{7}\)cm3
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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