Question

the radius of a spherical balloon increases from 6cm to 12cm as air is being pumped into it then what will be the ratio of surface areas of the original balloon to the resulting new balloon ​

Answer 1

Answer:

Surface area of a spherical balloon whose radius is 6 cm.

= 4π × 6 × 6 cm2

Surface area of a spherical balloon whose radius is 12 cm.

= 4π × 12 × 12 cm2

∴ Ration of surface areas = 4π × 6 × 6 / 4π × 12 × 12 = 1 / 4 = 1 : 4