The total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm,...
MATHEMATICS
WAEC 2019
The total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm, calculate its height. [Take \(\pi = \frac{22}{7}\)]
- A. 7.5 cm
- B. 4.5 cm
- C. 4.0 cm
- D. 2.0 cm
Correct Answer: C. 4.0 cm
Explanation
165 = 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x h + 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x \(\frac{7}{2}\)
165 = 22h + 77
\(\frac{22h}{22} = \frac{88}{22}\)
height = 4cm
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