Question

Find the ratio of surface area of moon to earth if ratio of volume of earth is 64:1​

Answer 1

Answer:

Let diameter of Earth =D units

∴ Radius of Earth =2R units

Let diameter of moon =d units

Radius of mood =2r units

Given, D=4d

2R=4×2r

R=4r

Surfaceareaofmoon

SurfaceareaofEarth

=

4πr

2

4πR

2

=

4πr

2

4π(4r)

2

=

4πr

2

64πr

2

=

1

16