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 ?
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12
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
Answered by
7
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
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