Question

if the diameter of a spere is doubled what will happen to the volume of the sphere

Answer 1

Volume of a sphere:\[V=\frac{ 4 }{ 3 }\pi r^3\]
Now imagine your new sphere: it has 2r as radius ( double the diameter is double the radius), so it's volume will be:\[V_2=\frac{ 4 }{ 3 }\pi (2r)^3 \]Almost everything is just the same ... apart from the (2r)³.

What will happen if you work out the brackets?