Question

Volume of 2 space is in the ratio 64 ratio 125 find the ratio of their surface areas

Answer 1

hello users ...
Given that:
volumes of two spheres are in ratio 64 : 125

we have to find :
ratio of their surface areas 

solution:-
we know that
volume of sphere =4/3 ×πr³
and
Surface area of sphere = 4πr²
let;
 the radius of 1st sphere = r1
and
the radius of second sphere = r2

According to given:
4/3 ×π(r1)³ : 4/3 ×π(r2)² = 64 : 125

=> (r1)³ : (r2)³ = 4³ : 5³

=> r1 :r2 = 4:5

Now 
the Ratio of their surface area 
=> 4π(r1)² : 4π(r2)²
=>(r1) : (r2) = 4:5 Answer

@ hope it helps :)