Question

the voulme of 2 spheres are in the ration 64:27. find difference if between surface areas , if the sum of their radius is 7​

Answer 1

Answer:

let the radius are R and r

then

4/3πR^3 : 4/3πr^3= 64 : 27

R^3 : r^3= 64 : 27=4^3 : 3^3

=> R : r= 4 : 3

as R+r=7

so R=4 unit , r= 3 unit

so difference between their surface areas

(4πR^2-4πr^2 ) sq unit

=4π(16-9) sq unit

=4.22/7.7 sq unit

=88sq unit