UI Post-UTME Mathematics 2012 Question 9

Question 9

Mensuration of Solids

A hemispherical bowl has a radius of 9cm. Calculate its total surface area and its volume

  1. A.700cm2, 1527cm3
  2. B.8800cm2, 3600cm3
  3. C.763.5cm2, 1527cm3
  4. D.1821cm2, 3822cm3
Show the answer and explanation

Answer: C (763.5cm2, 1527cm3)

Explanation

Total surface area of a solid hemisphere = 3πr² = 3 × 3.142 × 81 ≈ 763.5 cm²; volume = ⅔πr³ = ⅔ × 3.142 × 729 ≈ 1527 cm³.