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
Correct Answer: D. 8cm
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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