The volume of a sphere of radius r is obtained by multiplying its surface area with:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\displaystyle\frac{r}{3}\)
For a sphere of radius \(r\), the surface area is \(4\pi r^2\) and the volume is \(\frac{4}{3}\pi r^3\). Writing the volume in terms of the surface area:
\(\displaystyle\frac{4}{3}\pi r^3=4\pi r^2\times\frac{r}{3}\)