Answer: 718.67 cm³.
- A (1/4)(4/3)πr³
- B (1/2)(2/3)πr³
- C (2/3)πr³/2 = (1/3)πr³
- D 718.67 cm³
Correct answer: D. 718.67 cm³
Explanation: Full hemisphere = (2/3)πr³ = (2/3)(22/7)(343) = 718.67 cm³. When half full, volume = 718.67/2 ≈ 359.3 cm³. But question asks half-full of hemisphere. Actually half-full hemisphere means filling it half way, not half of hemisphere volume.
Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.
Concept context
Perimeters, areas, and volumes of 2D and 3D shapes