Question

Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 999 meters. She fills it with hot air whose density is 0.90.90, point, 9 kilograms per cubic meter. Since this is less dense than the air in the atmosphere, the balloon is carried upwards. How much air does Ariah need to fill the balloon?

Answer 1

2746.872 kg

Explanation:

The first thing we must do is calculate the volume of the sphere, which has the following formula:

Vs = (4/3) * pi * (r ^ 3)

Now, we know that the radius is 9 meters. Replacing:

Vs = (4/3) * 3.14 * (9 ^ 3)

Vs = 3052.08

The volume then is 3052.08 m ^ 3

Density is 0.9 kg / m ^ 3

To calculate the number of kilograms we must multiply the volume by the density, like this:

3052.08 * 0.9 = 2746.872

Which means that 2746,872 kilograms of air are needed