# math

posted by .

A design on a balloon is 6 cm wide when the balloon holds 44 cm to the third power of air. How much must
the balloon hold for the design to be 24 cm wide?

Since the "width" increases by a factor of 4, the volume will increase by a factor of 4^3 = 64, even if the balloon is not spherical. The only requirement is that the shape remain the same, which is a reasonable assumption. The balloon you are talking about is not spherical; if it were, the original volume would be 113.1 cm^3.

So the answer is 64 x 44 = ___ cm^3.

thank you

• math -

2816 cm^3

## Similar Questions

1. ### chemistry

hot-air balloon is filled with air at a volume of 3.64 x 10^3 m^3 at 745 torr at 39C. the air in balloon is heated to 60C, causing balloon to expand to a volume of 4.50x 10^3 m^3. what is the ratio of the number of moles of the air …
2. ### Math

A design on a balloon is 2 cm wide when the balloon holds 47 cm^3. How much must the balloon hold for the design to be 6 cm wide?
3. ### Physics

After rubbing a balloon against someone's hair, a balloon has accumulated a static electric charge. The air inside the balloon has the same density as the air outside of the balloon, and the balloon itself weighs 1.41mN. How many free …
4. ### geometry

A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm^3 of air. How much air does the balloon hold when the design is 10 cm wide?
5. ### geometry

A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm^3 of air. How much air does the balloon hold when the design is 10 cm wide?
6. ### interoduction of aeronautical engineering

Others say that the balloon was 23 metres high and 14 metres wide. Calculate the temperature of the air in the balloon (in degrees Celsius) for this situation as well. (Assume the balloon to be spherical, and then elongated by a factor …
7. ### Geometry

A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide?
8. ### Help me! Geometry

A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm^3 of air. How much air does the balloon hold when the design is 10 cm wide?
9. ### Chemistry

A hot air balloon is filled with hot air and the hot air forces the volume of the balloon to expand until the density of the gas in the balloon is less than the density of the outside air. The volume must be 20% larger than the balloon …
10. ### chemistry

A hot air balloon is filled with hot air and the hot air forces the volume of the balloon to expand until the density of the gas in the balloon is less than the density of the outside air. The volume must be 20% larger than the balloon …

More Similar Questions