CBSE · Class 9 · Mathematics · Surface Areas and VolumesThe total surface area of a cylinder of radius $r$ and height $h$ is:
Step-by-Step Solution
The total surface area of a cylinder includes its curved surface area ($2\pi rh$) and the area of the two circular bases ($2\pi r^2$). Hence, Total Surface Area $= 2\pi rh + 2\pi r^2 = 2\pi r(h + r)$. Therefore, the correct option is $2\pi r(r + h)$.
Detailed Options Breakdown
Option : 2\pi r(r + h) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: \pi r(r + h)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 2: 2\pi 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.