NCERT · Class 10 · Mathematics · Surface Areas and VolumesThe total surface area of a solid hemisphere of radius $r$ is:
Step-by-Step Solution
The curved surface area of a hemisphere is $2\pi r^2$ and the area of the circular base is $\pi r^2$. Therefore, the total surface area is $2\pi r^2 + \pi r^2 = 3\pi r^2$.
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: $3\pi r^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $4\pi r^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
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.