Answer:
[tex]\frac{1}{48}[/tex] π units³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then
V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )
= [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]
= [tex]\frac{1}{48}[/tex] π units³
