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A cylinder of base radius 4cm is open at one end . If the ratio...

Mathematics
WAEC 1991

A cylinder of base radius 4cm is open at one end . If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder
  • A. 1cm
  • B. 2cm
  • C. 4cm
  • D. 8cm
  • E. 16cm
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Correct Answer: Option D
Explanation
r= 4cm; base area = \(\pi\)r2; Curve S.A = 2\(\pi\)rh

\(\frac{base area}{curved area}\) = 1/4; \(\pi\)/2\(\pi\)rh

=h = \(\frac{4 x 4cm}{2}\)

h= 8cm

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