CBSE · Class 10 · Mathematics · Surface Areas and VolumesThe volume of a cone of radius $r$ and height $h$ is:
Step-by-Step Solution
The volume of a cone is one-third of the volume of a cylinder with the same radius and height, which is $\frac{1}{3}\pi r^2 h$.
Detailed Options Breakdown
Option : $\pi r^2 h$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 1: $$\frac{1}{3}\pi r^2 h$$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $$\frac{2}{3}\pi r^2 h$$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 3: $2\pi r^2 h$
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.