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UI Post-UTME Mathematics 2023 (Model questions) Question 7

Question 7

Mensuration of Solids

If a cone has a height of 12cm and volume of 144πcm3, what is the radius of the cone?

  1. A.3cm
  2. B.4cm
  3. C.5cm
  4. D.6cm
Show the answer and explanation

Answer: D (6cm)

Explanation

(1/3)πr² × 12 = 144π gives 4r² = 144, r² = 36, r = 6 cm.