The radii of the base of two cylindrical tins, P and Q are r and...
MATHEMATICS
WAEC 2014
The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, would be the height of the same quantity of water in Q?
- A. 2.5cm
- B. 5.0cm
- C. 7.5cm
- D. 20.0cm
Correct Answer: A. 2.5cm
Explanation
volume of cylinder = \(\pi r^2h\)
volume of cylinder p = \(\pi r^2 \times 10\)
= 10\(\pi r^2\)
volume of cylinder Q = \(\pi (2r)^2 h\)
= 4\(\pi r^2\)h
4\(\pi r^2 = 10 \pi r^2 h\)
h = \(\frac{10}{4} = 2.5cm\)
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 Your email address will not be published.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 *