OAU Post-UTME Mathematics 2022 (Batch A) Question 15

Question 15

Mensuration of Solids

The internal and external radii of a hemispherical bowl are 3cm and 4cm respectively. What is the volume of material used in making the bowl?

  1. A.(148/3)π cm3
  2. B.(74/3)π cm3
  3. C.(54/3)π cm3
  4. D.174π cm3
Show the answer and explanation

Answer: B ((74/3)π cm3)

Explanation

Volume = ⅔π(R³ − r³) = ⅔π(64 − 27) = ⅔π × 37 = (74/3)π cm³.