WAEC Mathematics 2017 Objective — Question 17
Question 17 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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If the total surface area of a solid hemisphere is equal to its volume, find the radius.
- A. A. 3.0cm
- B. B. 4.5cmCorrect
- C. C. 5.0cm
- D. D. 9.0cm
Explanation
T.S.A of hemisphere = 3πr^2, Volume = (2/3)πr^3. Setting T.S.A=Volume: 3πr^2=(2/3)πr^3 → 9=2r → r=4.5cm.
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