MP Board · Class 10 · Mathematics · Surface Areas and VolumesThe total surface area of a solid cylinder of radius $r$ and height $h$ is:
Step-by-Step Solution
The total surface area of a cylinder includes the curved surface area ($2\pi r h$) and the areas of the two circular bases ($2\pi r^2$), which equals $2\pi r h + 2\pi r^2 = 2\pi r(r + h)$.
Detailed Options Breakdown
Option : $2\pi r h$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 1: $2\pi r(r + h)$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $\pi r(r + h)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 3: $2\pi r^2 h$
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.