Question

(13)
(5) The surface areas of two spheres are
in the ratio 1:2. Then, the ratio of
their volume is ​

Answer 1

Consider x and 2x as the radius of two spheres and S

1

and S

2

as the surface areas

It can be written as

S

2

S

1

=

4π(2x)

2

4πx

2

On further calculation

S

2

S

1

=

4x

2

x

2

So we get

S

2

S

1

=

4

1

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