CBSE · Class 9 · Mathematics · Surface Areas and VolumesThe volume of a right circular cylinder of radius $r$ and height $h$ is:
Step-by-Step Solution
The volume of a cylinder is calculated by multiplying the area of the circular base ($\pi r^2$) by its height ($h$). Thus, Volume $= \pi r^2 h$. Therefore, the correct option is $\pi r^2 h$.
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: \pi r^2 h (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \frac{1}{3}\pi r^2 h
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 3: 2\pi r(r + 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.