JAMB Mathematics 1990 Question 44

Question 44

Mensuration of Solids

Find the curved surface area of the frustrum in the figure above.

Diagram for this question
  1. A.16π√10cm2
  2. B.20π√10cm2
  3. C.24π√10cm2
  4. D.36π√10cm2
Show the answer and explanation

Answer: B (20π√10cm2)

Explanation

The radii are 4cm and 6cm and the height is 6cm, so the slant height is √(62 + 22) = 2√10cm. Curved surface = π(4 + 6) × 2√10 = 20π√10cm2.