NCERT · Class 9 · Mathematics · Surface Areas and VolumesThe total surface area of a solid hemisphere of radius $r$ is:
Step-by-Step Solution
The total surface area of a solid hemisphere consists of the curved surface area ($2\pi r^2$) plus the area of the circular base ($\pi r^2$). Thus, Total Surface Area $= 2\pi r^2 + \pi r^2 = 3\pi r^2$. Therefore, the correct option is $3\pi r^2$.
Detailed Options Breakdown
Option : 2\pi r^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 1: 4\pi r^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 2: 3\pi r^2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \pi r^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.