Answer: [tex]10\ m^3[/tex]
Step-by-step explanation:
Given
The volume of Sphere is [tex]40\ m^3[/tex]
It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume
The new volume is given by
[tex]\Rightarrow V_{new}=\dfrac{V}{4}=\dfrac{40}{4}\\\\\Rightarrow V_{new}=10\ m^3[/tex]