Question

the surface area of two spheres are in the ratio 4:9.find the ratio of their volumes

Answer 1

hey dear your answer is here..
4πr^2÷4πR^2=4÷9

r^2÷R^2=4÷9
r÷R=2÷3

so volume 1÷ volume 2
=4/3πr^3÷4/3πr^3
=r^3÷R^3
= 8÷27

Answer 2

Answer:

Step-by-step explanation:

Surface area of a sphere is directly proportional to square of radius,hence ratio of radii of two spheres is 2:3.

Volume is proportional to cube of radius.

So, ratio of volumes=(2/3)^3=8:27

Hope you understood