MP Board · Class 10 · Mathematics · Surface Areas and VolumesThe volume of a sphere of radius $r$ is:
Step-by-Step Solution
The volume of a sphere is standardly given by the formula $\frac{4}{3}\pi r^3$.
Detailed Options Breakdown
Option : $$\frac{4}{3}\pi r^3$$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $$\frac{2}{3}\pi r^3$$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
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: $\frac{4}{3}\pi r^2$
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.