UI Post-UTME Mathematics 2024 (Model questions) Question 6

Question 6

Mensuration of Solids

A cone has a height of 12cm and a base radius of 5cm. Find the total surface area

  1. A.283cm2
  2. B.204.23cm2
  3. C.78.77cm2
  4. D.142cm2
Show the answer and explanation

Answer: A (283cm2)

Explanation

Slant height l = √(12² + 5²) = 13. Total surface area = πr(l + r) = (22/7) × 5 × 18 ≈ 282.9 ≈ 283 cm².