Calculate the volume of a right circular cone with base radius 6 cm and vertical height 14 cm. (Take π = 22/7)
Answer and explanation
Correct answer: D. 528 cm³
- Step 1: Volume of cone formula: V = (1/3)π r² h. Step 2. Substitute values: V = (1/3) × (22/7) × 6² × 14 = (1/3) × (22/7) × 36 × 14. Step 3. Simplify: (1/3) × 22 × 36 × 2 = 12 × 44 = 528 cm³. Answer: 528 cm³. Why not the others: 1,584 cm³ is the volume of a cylinder with same dimensions (omits 1/3); 264 cm³ halves the volume; 792 cm³ is 1.5 times the correct volume.
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