Question

the radius of the earth is 1/6 the radius of jupiter find the ratio of surface area and volume​

Answer 1

Answer:

ratio of surface area = 1/36

ratio of Volume = 1/216

Step-by-step explanation:

Let the radius of the earth be x units

The radius of the jupiter = 6x units

We know that,

          Surface area of a sphere =  4πr²

           Volume of a sphere = (4/3)πr³

{Considering both earth and jupiter to be spheres}

Ratio of surface area = 4π(x²)/ 4π(6x)²

                                   = 1/6²

                                    = 1/36

Ratio of Volume = (4/3)π(x³)/ (4/3)π(6x)³

                           = 1/ 6³

                           = 1/216

Hence the ratio of surface area of earth to jupiter = 1/36

            the ratio of Volume of earth to jupiter = 1/216