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NABTEB Mathematics 2022 Objective — Question 24

Question 24 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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A cylinder opened at one end has a radius of 3.5cm and a height of 8cm. Calculate the total surface area. [Take pi=22/7]

  • A. 126.5cm^2
  • B. 165.0cm^2
  • C. 212.0cm^2
  • D. 214.5cm^2Correct

Explanation

T.S.A (open at one end) = curved surface area + area of one end = 2*pi*r*h + pi*r^2 = pi*r(2h+r) = (22/7) x 3.5 x (16+3.5) = 214.5cm^2.

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