a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find the height of the drum in centimeters
A
12.5
B
25.0
C
45.0
D
50.00
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
V = \(\pi r^2 h\)
= 123.2 x 1000
= \(\frac{22}{7}\) x 28 x 28 x h
= 123200 = 88 x 28h
= 2464h
∴ h = \(\frac{123200}{2464}\)
= 50cm
N.B: 1 litre = 1 dm3
= 1000cm3
Source: WAEC / JAMB / NECO Classroom Archive (Record #30721)