Respuesta :
Answer:
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is 25:64.
Step-by-step explanation:
The surface area of square is given by formula as follows :
[tex]A=4\pi r^2[/tex]
r is radius of sphere
The ratio of the lengths of the radii of two spheres is 5 : 8. The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is :
[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}[/tex]
Here, [tex]\dfrac{r_1}{r_2}=\dfrac{5}{8}[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{25}{64}[/tex]
So, the ratio of the surface area of the smaller sphere to the surface area of the larger sphere is 25:64.
