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a cylindrical drum of diameter 56 cm contains 1... - JAMB Mathematics 1998 Question

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
correct option: d

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

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