2021 · Q69
A cone of height 16 cm and diameter 14 cm is mounted on a hemisphere of same diameter. What is the volume of the solid thus formed ? (take π = 22/7)
Elementary MathematicsMensuration
- A1540 cm³
- B1078 cm³
- C1048 cm³
- D770 cm³
Explanation
Cone volume = (1/3)π·7²·16 = 2464/3 and hemisphere = (2/3)π·7³ = 2156/3 (with π = 22/7). The total is (2464+2156)/3 = 4620/3 = 1540 cm³. This is option (a).