Answer:
14.14 [tex]m^{3}[/tex]
Step-by-step explanation:
volume of a sphere (ball) = [tex]\frac{4}{3} \pi r^{3}[/tex]
volume of inner ball = [tex]\frac{4}{3} \pi r^{3}[/tex] = 4.2 [tex]m^{3}[/tex]
⇒ [tex]r^{3}[/tex] = [tex]\frac{4.2 X 3}{4\pi }[/tex]
⇒ [tex]r^{}[/tex] = ∛ 1.00268
⇒ [tex]r^{}[/tex] = 1 [tex]m^{3}[/tex]
radius of outer ball is 1.5 times larger than radius of inner ball, therefore;
⇒ R = 1.5 r
⇒ R = 1.5 x 1 = 1.5 [tex]m^{3}[/tex]
Volume of outer ball = (4/3)[tex]\pi[/tex] x [tex]1.5^{3}[/tex] = 14.14 [tex]m^{3}[/tex]
