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For any geometric figure, surface area is proportional to (linear dimensions)2 .

As the balloon's diameter doubles, its area increases by the factor of (2)2 = 4 .

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14y ago
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3w ago

The change in the area would increase by a factor of 4. When the diameter doubles, the radius also doubles. Since the formula for the surface area of a sphere is 4πr^2, when the radius doubles, the area increases by a factor of 4.

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Q: Consider a balloon that is being inflated As the balloon increases in size the area of its surface increases Each time the balloon's diameter doubles what do you expect for the change in the area?
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Continue Learning about Natural Sciences

How do weather balloon look like?

Weather balloons are typically white or light-colored, with a spherical shape when fully inflated. They are made of flexible materials like latex or synthetic rubber and have a small instrument package attached to measure and transmit data as the balloon ascends through the atmosphere. When they reach high altitudes, the balloons can expand to several meters in diameter before they burst and fall back to the ground.


Is a balloon permeable?

Yes, balloons are permeable to some extent. Over time, the material of the balloon can allow gas molecules to slowly pass through, causing the balloon to deflate. However, some balloons are designed with special coatings or materials to reduce permeability and help them stay inflated longer.


Does cold air shrink or stay the same?

Cold air contracts and becomes denser, so it tends to shrink in volume. This is why inflated objects like balloons or tires appear to deflate in cold weather.


What happen when a balloon is filled with helium?

When a balloon is filled with helium, it becomes buoyant because helium is lighter than the surrounding air. This causes the balloon to rise and float. The helium gas inside the balloon also increases the pressure, which helps the balloon maintain its shape and stay inflated.


Does temperature affect the maximum size that you can inflate a balloon?

When the temperature is colder the particles in the balloon travel slower, making the balloon not able to increase in size it decreases.When the temperature is hot it allows the balloon to expand because the particles in the balloon are moving rapidly. in conclusion the the cold makes the balloon decrease in size and the heat allows it to expand.

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