Respuesta :
Answer:
8 times larger than original
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³
when r = 2 , then
V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8
when r is doubled , that is r = 4 , then
V = [tex]\frac{4}{3}[/tex]π × 4³ = [tex]\frac{4}{3}[/tex]π × 64
64 is 8 times larger than 8
then new sphere is 8 times larger than original sphere
