Answer:
25:16 is the surface area of the cones.
Step-by-step explanation:
Given: The ratio of their radii and altitudes is 5:4.
Area of similar figures are proportional to the squares of their corresponding sides and this ratio is called scale factor.
Let z be the scale factor
∴z= [tex]\frac{5}{4}[/tex]
Now, let x be the surface area of the larger cone
and let y be the surface are of smaller cone.
∴ [tex]z^{2} = \frac{x}{y}[/tex]
next substituting the value of z ,
⇒[tex](\frac{5}{4} )^{2} =\frac{x}{y}[/tex]
∴ [tex]\frac{x}{y} = \frac{25}{16}[/tex]
The ratio for the surface area of cones is 25:16
