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The curved surface area of a cylindrical tin is 704cm2. If the radius of its...

Mathematics
WAEC 2012

The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
  • A. 14cm
  • B. 9cm
  • C. 8cm
  • D. 7cm
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Correct Answer: Option A
Explanation
Curved surface area = 2\(\pi h\)

704 = 2 x \(\frac{22}{7} \times 8 \times h\)

704 = \(\frac{352}{7}\)h

352h = 704 x 7

h = \(\frac{704 \times 7}{352}\)

= \(\frac{4928}{352}\)

h = 14cm

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