Answer:
Hence, the ratios are given by 5:7, 25:49, 125:343.
Step-by-step explanation:
We are given two spheres such that:
Volume of small sphere = 250
Volume of large sphere = 686
.
Then the ratio of volume = 250 : 686 = 125 : 343.
Since, the volume of a sphere = , this gives us that the ratio of the radius = ∛
: ∛
i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.
Further, as the surface area of a sphere = , this gives us that the ratioof surface area =
:
i.e The ratio of the surface area = :
= 25 : 49
So, the ratio of the surface areas = 25 : 49.
Hence, the ratios are given by 5:7, 25:49, 125:343.