CBSE · Class 10 · Mathematics · Surface Areas and VolumesThe total surface area of a solid hemisphere of radius $7\text{ cm}$ is:
Step-by-Step Solution
Total surface area = $3\pi r^2 = 3 \times \frac{22}{7} \times 7^2 = 3 \times \frac{22}{7} \times 49 = 3 \times 22 \times 7 = 462\text{ cm}^2$.
Detailed Options Breakdown
Option : $308\text{ cm}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 1: $462\text{ cm}^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $154\text{ cm}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 3: $924\text{ cm}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
💡 Study Guide: This question tests core syllabus concepts from Surface Areas and Volumes. For formulas, key summaries, and mock exam reference guides, read the full Surface Areas and Volumes Revision Notes.