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a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find...

Mathematics
JAMB 1998

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
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Correct Answer: Option D
Explanation

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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WAEC offline past questions - with all answers and explanations in one app - Download for free
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