The volume of a sphere of radius $r$ is
- $\cfrac { 4 }{ 2 } \pi { r }^{ 3 }$
- $\cfrac { 4 }{ 3 } \pi { r }^{ 3 }$
- $\cfrac { 3 }{ 4 } \pi { r }^{ 3 }$
-
None of these
Reveal answer
Fill a bubble to check yourself
B
Correct answer
Explanation
The standard formula for the volume of a sphere with radius r is (4/3) * pi * r^3.
AI explanation
The formula for the volume of a sphere with radius r is derived from calculus and solid geometry, establishing the relationship based on the sphere's proportions. By applying this standard mensuration formula, the volume equates to 4/3 * pi * r^3. This provides the final result of (4/3) * pi * r^3.