The radius and height of a solid cylinder is 8 cm and 14 cm respectively.

MATHEMATICS
WAEC 2023

The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct totwo d.p the total surface area.

(Take \(\pi = \frac{22}{7})\)

  • A. \(1,106.29cm^2\)
  • B. \(1,016.29cm^2\)
  • C. \(1,106.89cm^2\)
  • D. \(1,206.27cm^2\)

Correct Answer: A. \(1,106.29cm^2\)

Explanation

radius = 8cm , height = 14cm and \(\pi = \frac{22}{7}\)

total surface area of a solid cylinder =\( 2πrh+2πr^2\) = 2πr( h + r )

\( 2 \times \frac{22}{7} \times 8( 8 + 14)\)

\( 2 \times \frac{22}{7} \times 8 \times 22\)

\(\frac{7744}{7}\)

= \(1,106.29cm^2\)



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