An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was
MATHEMATICS
WAEC 2023
An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate,correct to the nearest centimeter, the height of the water in the tank. (\(Take \pi = \frac{22}{7})\)
- A. 91cm
- B. 7cm
- C. 13cm
- D. 57cm
Correct Answer: C. 13cm
Explanation
given that diameter = 140cm ⇒radius = 70cm, volume of cylinder = 200litres = \(200,000cm^3\)
volume of cylinder = base area times height = \(\pi r^2h\)
\( 200,000cm^3 = \frac{22}{7} \times 70 \times 70 \times h\)
\(200,000 = \frac{107,800h}{7}\)
cross multiply
1,400,000 = 107,800h
\( h = \frac{1,400,000}{107,800}\)
= 13cm (to the nearest cm).
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *