Answer
The volume of the sphere will get multiplied by 8.
Work Step by Step
The volume may be defined as the capacity or space that is being occupied by an item. The volume is expressed in terms of cubic units. The volume of a sphere is computed by multiplying the cube of the radius with the value of pie. Now, multiply the final resultant figure with four-third to get the volume of a sphere.
In this way, the formula for the volume of the sphere would be as follows:
\[V=\frac{4}{3}\pi {{r}^{3}}\]
Now, consider a sphere with double the radius 2r.
The volume\[V'\]for this figure can be computed as follows:
\[\begin{align}
& V'=\frac{4}{3}\pi {{\left( 2r \right)}^{3}} \\
& =\frac{4}{3}\pi \left( 8{{r}^{3}} \right) \\
& =8\left( \frac{4}{3}\pi {{r}^{3}} \right) \\
& =8V
\end{align}\]
Accordingly, when the radius of the sphere gets doubled, its volume will be multiplied by 8 showcasing the appropriate change in the volume with the change in the radius of the sphere.
