Answer:
45 in
Step-by-step explanation:
Given 2 similar figures with ratio of radii = a : b , then
ratio of volumes = a³ : b³
Here ratio of volumes = 8 : 27 , then
ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3
let r be the radius of the larger sphere then by proportion
[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )
2r = 90 ( divide both sides by 2 )
r = 45
The radius of the larger sphere is 45 in
