2021 · Q71
A cubical block of side 14 cm is surmounted by a hemisphere of radius 7 cm. What is the total surface area of the solid thus formed ? (take π = 22/7)
Elementary MathematicsMensuration
- A1330 cm²
- B1306 cm²
- C1296 cm²
- D1256 cm²
Explanation
Total surface area = cube's 6 faces (6 × 14² = 1176), minus the circular base covered by the hemisphere (π·7²), plus the hemisphere's curved area (2π·7²). With π = 22/7 this is 1176 + 49π = 1176 + 154 = 1330 cm². This is option (a).