2022 · Q72
Consider the following for the next three (03) items that follow: A conical vessel has radius 12 cm and height 16 cm. A sphere is inscribed in the cone. The vessel is filled with water and the sphere is placed inside it. How much water will remain in the vessel after the overflow?
Elementary MathematicsMensuration
- A288π mL
- B360π mL
- C480π mL
- D500π mL
Explanation
Cone volume = ⅓π·144×16 = 768π; sphere volume = (4/3)π·216 = 288π. Water left after overflow = 768π−288π = 480π mL. The keyed option is C.