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WAEC Mathematics 1994 Question 32

Question 32

Mensuration of Solids

Two solid spheres have volumes 250cm3 and 128cm3 respectively. Find the ratio of their radii.

  1. A.125 : 64
  2. B.25 : 16
  3. C.2 : 1
  4. D.4 : 3
  5. E.5 : 4
Show the answer and explanation

Answer: E (5 : 4)

Explanation

Volumes are in the ratio of the cubes of the radii: R³ : r³ = 250 : 128 = 125 : 64, so R : r = 5 : 4.