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The radius of a spherical balloon increa...

The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.

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To find the ratio of the surface areas of a spherical balloon when its radius increases from 7 cm to 14 cm, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Radii**: - Let the radius of the smaller balloon (initial radius) be \( r_1 = 7 \) cm. - Let the radius of the larger balloon (after pumping air) be \( r_2 = 14 \) cm. ...
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