The radii of two spheres are in the ratio 1:2. Find the ratio of their

1.	The radii of two spheres are in the ratio 1:2. Find the ratio of their surface areas.
Answer» Consider x and 2x as the radius of two spheres and S₁ and S₂ as the surface areas It can be written as S₁/ S₂ = 4πx²/ 4π (2x)² On further calculation S₁/ S₂ = x²/ 4x² So we get S₁/ S₂ = ¼ Therefore, the ratio of their surface areas is 1:4.

The radii of two spheres are in the ratio 1:2. Find the ratio of their surface areas.

Answer»

Consider x and 2x as the radius of two spheres and S₁ and S₂ as the surface areas

It can be written as

S₁/ S₂ = 4πx²/ 4π (2x)²

On further calculation

S₁/ S₂ = x²/ 4x²

So we get

S₁/ S₂ = ¼

Therefore, the ratio of their surface areas is 1:4.