## 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

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? Round your answer, if necessary, to the nearest integer.

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Math
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2021-09-11T18:18:11+00:00
2021-09-11T18:18:11+00:00 1 Answer
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## Answers ( )

Correct question:

Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 9 meters. She fills it with hot air whose density is 0.9 kilograms per cubic meter. Since this is less dense than the air in the atmosphere, the balloon is carried upwards.

Answer: 2748 kilograms

Step-by-step explanation:

The radius of sphere = 9m

The volume of a sphere is calculated by:

(4/3)πr^3

(4/3) × π × r^3

(4/3) × π × 9^3

(4/3) × π × 729

= 3053.62806m^3

The amount of air needed = (Volume of sphere × density)

The amount of air needed = 3053.62806 × 0.9 =2748.265

Amount of air needed to fill the balloon is 2748 kilograms