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A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end....

Mathematics
WAEC 2024

A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = \(\frac{22}{7}\))

  • A. 2.1 m\(^2\)
  • B. 3.5 m\(^2\)
  • C. 4.0 m\(^2\)
  • D. 9.4 m\(^2\)
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Correct Answer: Option C
Explanation

The total surface area A of a closed cylindrical barrel (closed at one end), is given by:
A = πr\(^2\) + 2πrh = πr(r + 2h) 

BUT, r = 0.245m, h = 2.5m 

A =  \(\frac{22}{7}\) x 0.245( 0.245 + 2 x 2.5)

A = 0.77(5.245) = 4.038650m\(^2\) ≈ 4.0m\(^2\)


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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