Question

Tha area of tha two spheres are in ratio 1:2 find tha ratio of their volume

Answer 1

surface area of sphere is 4πr^2.

let the two radii be R1 and R2

•4π(R1)^2/4π(R2)^2= 1/2

this gives (R1)^2/(R2)^2=1/2

R1/R2=1/√2

volume of sphere =4/3πr^3

ratio of their volume gives

(R1)^3/(R2)^3=R1×(R1)^2/R2×(R2)^3

=1×1/2×√2

$1: 2\sqrt{2}$