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

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 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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