2019 · Q61
A hollow sphere of external and internal diameters 6 cm and 4 cm respectively is melted into a cone of base diameter 8 cm. What is the height of the cone?
Elementary MathematicsMensuration
- A4.75 cm
- B5.50 cm
- C6.25 cm
- D6.75 cm
Explanation
Hollow sphere volume = (4/3).pi.(27-8) = 76.pi/3. Equating to cone volume (1/3).pi.x16xh gives 16h = 76, h = 4.75 cm.