WAEC Mathematics 2017 Question 17

Question 17

Mensuration of Solids

If the total surface area of a solid hemisphere is equal to its volume, find the radius.

  1. A.3.0 cm
  2. B.4.5 cm
  3. C.5.0 cm
  4. D.9.0 cm
Show the answer and explanation

Answer: B (4.5 cm)

Explanation

Total surface area = 3πr² and volume = ⅔πr³. 3πr² = ⅔πr³ gives r = 4.5 cm.