MP Board · Class 9 · Mathematics · Surface Areas and VolumesThe volume of a sphere of radius $r$ is given by:
Step-by-Step Solution
The volume of a sphere is a standard formula derived in calculus and geometry, which is given as $\frac{4}{3}\pi r^3$. Therefore, the correct option is $\frac{4}{3}\pi r^3$.
Detailed Options Breakdown
Option : \frac{2}{3}\pi r^3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 1: \frac{4}{3}\pi r^3 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 4\pi r^3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Option 3: \frac{1}{3}\pi r^3
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.