Question

The radius of a spherical balloon increases from 6 cm to 12 cm 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

Answer 2

Answer:

1:4, Procedure....

Step-by-step explanation:

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