Volume of Solids — O/L Mathematics

How do I practise Volume of Solids?

1 question with a worked solution

1. A solid right circular cone has a base radius of 6 cm and a vertical height of 14 cm. Using π = 22/7, find the volume of the cone.
   1. A) 528 cm³
   2. B) 264 cm³
   3. C) 792 cm³
   4. D) 1584 cm³
   Check my answer

   Correct answer: A) 528 cm³

   Volume of a cone V = 1/3 × πr²h = 1/3 × (22/7) × 6² × 14 = 1/3 × (22/7) × 36 × 14 = (1/3) × 22 × 36 × 2 = 22 × 12 × 2 = 528 cm³.

   Show worked solution

   Step 1: Formula for cone volume: V = 1/3 π r² h. Step 2: Substitute: V = (1/3) × (22/7) × (6²) × 14. Step 3: Simplify: 14 / 7 = 2; (1/3) × 36 = 12. Step 4: V = 22 × 12 × 2 = 528 cm³. Answer: 528 cm³.
   Modelled on: the O/L Mathematics examination pattern

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Where does Volume of Solids fit in the syllabus?

Grade 11 · Term 1