Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2[/tex]
The ratio of surface areas of two cylinders,
[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]
Hence, the required ratio is 4:25.
