Question

If surface areas of two spheres is in the ratio 4:9 then find the ratio of their volumes

Answer 1

surface area of sphere is 4 Pi R Square
. surface area upon surface area is equals to 4 upon 9
4pi r square/ 4 pi R square
4πr^2÷4πR^2=4÷9
r^2÷R^2=4÷9._let it be a .
volume of square upon volume of another sphere
4/3πr^3÷4πR^3
r^3÷R^3
r^2×r÷R^2×R
from a
4r÷9R
0.444444r÷R
so the ratio Will be 0.4444444:1