Question

If the radius of a sphere is '2r' then the volume will be

• A. \(\frac 43\pi r^3\)
• B. \(4\pi r^3\)
• C. \(\frac 83\pi r^3\)
• D. \(\frac {32}{3}\pi r^3\)

Answer 1

The Correct Option is D

To solve the problem, we need to find the volume of a sphere whose radius is given as $2r$.

1. Volume Formula for a Sphere:
The volume $V$ of a sphere is given by the formula:

$ V = \frac{4}{3} \pi r^3 $

2. Substituting Radius as $2r$:
If radius = $2r$, then the volume becomes:

$ V = \frac{4}{3} \pi (2r)^3 $

$ = \frac{4}{3} \pi (8r^3) $

$ = \frac{32}{3} \pi r^3 $

Final Answer:
The volume of the sphere is $ {\frac{32}{3} \pi r^3} $