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A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate...

Mathematics
WAEC 2022

A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area

  • A. 126.5cm\(^2\)
  • B. 165.0cm\(^2\)
  • C. 212.0cm\(^2\)
  • D. 214.5cm\(^2\)
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Correct Answer: Option D
Explanation

The surface area of an open-top cylinder = πr(r + 2h),

where 'r' is the radius and 'h' is the height of the cylinder.

= \(\frac{22}{7}\) * 3.5 (3.5 + 2 * 8)

= 11 (3.5 + 16) → 11 (19.5)

= 214.5cm\(^2\)


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